A regular hexagon is inscribed in a circle with a radius of exactly 40 centimeters. Find the exact length of one side of the hexagon. A) 80 centimeters B 20 centimeters c) 40 centimeters D) 120 centimeters

Q: Is it possible for a polygon to have the following sum of measures for its interior angles? a) 600°…

A:

Q: Find the measure of an exterior angle of a regular polygon with 10 sides. (round to the nearest…

A:

Q: This figure is formed by a square and an isosceles trapezoid. 4 In. 5 in. 10 in. What is the…

A: To find the perimeter

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

A:

Q: 1. What is the diameter of a circle, in terms of R,whose circumference is 5?

A: We have to find diameter

Q: In circle C, point D is a point of tangency between tangent AD and radius CD. (a) What is the length…

A: Proceed as shown...

Q: Find the measure of a central angle of a regular polygon that has 54 diagonals.

A: We have to find measure of central angle of the regular polygon that has 54 diagonals. We know the…

Q: What is the area of a sector of a circle with a central angle of measure 120° and whose diameter is…

A: As per given question  We have to determine area of the sector

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: Quadrilateral ABCD is congruent to quadrilateral WXYZ. Which segment in quadrilateral ABCD is 11 cm…

A: If two quadrilateral are said to be congruent, then all the four sides of one quadrilateral is same…

Q: Find the (a) measure of the central angle, (b) length of the side, (c) area of the given polygon.

A: Given is the figure : The central angle of a polygon is found by the formula 360οn, where n is the…

Q: A regular polygon has 7 sides, each measuring 12.5 m. If a circle is inscribed in the polygon,…

A:

Q: Given that AB is a diameter of circle O and mAD = 130°, what is the measure of ZDAB? %3D C 130 VB…

A:

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: Aglass coffee tabletop is essentially square but has rounded circular corners, as shown. Find its…

A:

Q: A right section of an oblique prism is a hexagon whose sides are 3cm, 4 cm, 4 cm, 5 cm, 6 cm, and 7…

A:

Q: The diagonals of a non-isosceles trapezoid divide the midline into three segments, whose lengths are…

A:

Q: A quadrilateral ABCD is inscribed in a circle, if AB = 90 cm, CD =70 cm, = 101.76 cm. respectively.…

A:

Q: If the midpoints of the sides of AEFG shown below were connected with line segments, what would be…

A: Midpoint Theorem : Segment joining midpoints of two sides of triangle is parallel and half of the…

Q: What is the total measure of the central angles of a circle with no common interior points? * O 120…

A: Since,  sum of the central angles of a circle with no common interior point is 360°. Hence 360 is…

Q: In the accompanying diagram, isosceles triangle ABC is inscribed in circle 0 with diameter AB. Find…

A:

Q: Find the number of sides for a regular polygon whose exterior angles each measure: a) 45° b) 9°

A: We know in a regular polygon the sum of all exterior angles is 360 degrees. Therefore the number of…

Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: The sides of the polygon ABCD are congruent, respectively, to the sides of a polygon . Are the…

A:

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We are asked to find the missing sides of the triangle.

Q: a) Are any two equilateral hexagons similar? b) Are any two regular hexagons similar?

A: a) Note that an equilateral hexagon is a hexagon with all sides of same length. Above figure, both…

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

A:

Q: Does a regular pentagon have (a) an incenter? (b) a circumcenter?

A: A regular pentagon has 5 vertices, 5 equal sides and 5 equal angles. A regular pentagon have an…

Q: The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the corresponding sides of two regular pentagons are 2 in. and 7 in.

Q: What is the perimeter of a trapezoid with base 1 = 30 in, base 2 =12 in, and equilateral slides of…

A: We have to find  perimeter of a trapezoid.

Q: Prove that an exterior angle of a regular polygon is equal to the angle at the center?

A: Let us consider a regular n-polygon  We know that the sum of the exterior angles of a polygon is =…

Q: A regular pentagon has an apothem measuring 3 cm What is the area of the pentagon, rounded to the…

A:

Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

Q: Two regular hexagons have sides of 2 and 4 What is the ratio of their perimeters? What is the ratio…

A:

Q: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: Is there a regular polygon that has an interior angles that each measure 135° ? Justify your answer.

A:

Q: If a regular hexagon has a side of 5 cm, then determine: a) measure of the radius of the…

A: Given side of regular hexagon is s=5 cm (a) Since radius and side of the regular hexagon is equal.…

Q: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

Q: Find the measure of a central angle of a regular polygon that has 35 diagonals.

A: polygon: Let the polygon has n sides,We need to find the number of sides whose diagonals are…

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothems? Of…

A:

Q: In a regular polygon, each interior angle measures 135°. If each side of the regular polygon…

A: Given that, in a regular polygon, each interior angle measures 135 degrees. Then each exterior angle…

Q: Determine the measure of one exterior angle of a regular 20-sided polygon.

A: The measure of an exterior angle of a regular polygon with n sides is 360n°.

Q: If AC is the diameter of circle D, then what is the value of mLA+ m/C? B.

A:

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 60°…

A: Given: The measure of each interior angle of a regular polygon is 60° greater than the measure of…

Q: What is the ratio of the measure of an interior angle to the measure of anexterior angle in a…

A: We know that interior angle of a regular polygon is given as: n-2πn Exterior angle of a regular…

Q: The apothem of a regular hexagon is 5/3 in. What is the length of its sides? What is its area?…

A:

Q: The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the…

A: To find: The measure of angle formed by two consecutive side. Given: The regular polygon has 12…

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A: