Question

Find the area of a sector of a circle whose radius is 7 cm and whose central angle is 45
degrees. Use pi = 3.14.

Answer 1

Answer:

The area of a sector of a circle = 19.2325

Step-by-step explanation:

Explanation:-

Given θ be the measure of angle and radius of circle

The area of a sector of a circle (see diagram)

                                        $A = \frac{theta}{360} \pi r^{2}$

Given the radius of circle 'r' = 7cm and given angle θ = 45°

The area of a sector of a circle

                                      $A = \frac{45}{360} \pi( 7)^{2}$

  Use pi =3.14

                                      $A = \frac{45X 3.14( 7)^{2}}{360}$

                                      A = 19.2325

Final answer:-

The area of a sector of a circle = 19.2325