A biologist measured the number of mosquito larvae on the surface of a 1 pond. The biologist randomly sampled various spots on the pond's surface. For each spot, he measured the surface area and counted the number of mosquito larvae in that spot. Surface Area (cm?) 4 20 25 40 40 45 45 Number of Mosquito Larvae 4. 5. 9. 11 a) Draw a mapping diagram to represent the relation between the surface area and the number of mosquito larvae. Identify the relation between the surface area and the number of mosquito larvae. Then tell whether the relation represented by the mapping diagram is a function. Explain. b) The biologist decides to find the average number of mosquito larvae for a given surface area. Complete the table. Then tell whether this relation is a function. Explain. c) Surface Area (cm²) 4. 6. 20 25 40 45 Average Number of Mosquito Larvae
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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