Question

HELP WITH THIS QUESTION PLEASE!

Answer 1

Answer:

23.7°

9.1~ft

Step-by-step explanation:

Formula for the area of a sector of central angle n (in degrees) and radius r:

$A = \dfrac{n}{360^\circ}\pi r^2$

We have:

A = 100 ft^2

r = 22 ft

We need to find:

r

$100 = \dfrac{n}{360^\circ}\pi (22^2)$

$n = 23.7^\circ$

The central angle measures 23.7°.

Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:

$s = \dfrac{n}{360^\circ}2 \pi r$

We have:

n = 23.7°

r = 22 ft

We need to find:

s

$s = \dfrac{74.4}{360}2 \pi (22 ft)$

$s = 9.1~ft$