Question

Complete the steps, which describe how to find the area of the shaded portion of the circle.



Find the area of the sector by multiplying the area of the circle by the ratio of the
a. length of the radius
b. length of the diameter
c. measure of the central angle
d. measure of the circle


to 360.
Subtract the area of the triangle from the area of the sector.

Answer 1

Answer: option c. measure of the central angle

Explanation:

1) The ratio of the area of a sector of a circle to the area of th entire the circle is proportional to the ratio of the central angle to 360°.

This is:

ratio of areas = ratio of the angles

ratio of area = area of the sector / area of the circle

ratio of the angles = central angle / 360°

2) Set the proportion with the unnknown:

Area of the sector          central angle
------------------------- =   ---------------------
Area of the circle               360°

            x                          central angle
------------------------ =   --------------------------
area of the circle                 360°

3) Solve for x:

x = area of the circle * central angle / 360°

Which is what the option c, tells and that is the answer.

4) The last part of the question, just states that you have to subtract the area of the triangle, just because it is not shaded

Answer 2

Answer:

For Edg, it's the third option. measure of the central angle.

Step-by-step explanation: