Question

Find the value of x. Select one: a. 2.3 inches b. 3.3 inches c. 4.1 inches d. 6.1 inches

Answer 1

c 4.1 inches

Explanation:

The circumference of a circle is given by

C = 2*pi*r

The sector is only 78 degrees

Take the fraction of a circle and multiply by the circumference to find the length x

x = C* 78/360

= 2 * pi *r * 78/360

= 2 * pi *3 * 78/360

Using 3.14 for pi

= 4.082

Rounding to the nearest tenth

x = 4.1 inches