(a)
Draw the figure using only compass.
(a)
Explanation of Solution
Given :
Calculation:
Start by making a
Now , select any point on the circumference of the circle and make an arc with radius 6 units.
Now, from the point where the arc intersects the circle, make another arc with radius 6 units.
Continue this way:
Hence , we get the given figure only via compass.
(b)
Find the area of the 6 petals.
(b)
Answer to Problem 27WE
39.12 square units.
Explanation of Solution
Given :
Radius of the circle is 6 units .
Calculation:
All the 6 petals are congruent.
We find area of 1 petal first , and then multiply it by 6 .
It forms 6 congruent
Also , the other two sides of triangle are equal .
So, the triangle is equilateral.
And the three petals are on the three sides of the triangle.
We can find the area of half of the petal by subtracting the area of equilateral triangle FAE from the area of sector FAE :
So, the area of 1 petal is
Now, the area of 6 petals or the area of the shaded region =
Chapter 11 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning