A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.Using 3.14 for pi, what is the length

Question

3 years ago

5

of the radius of the circle?

2 answers:

Usimov [2.4K] · Answer 1 · 2022-03-25T19:20:07+03:00

8 0

I hope this helps you

Arc Length=Center Angle/360.2.pi.r

117,75=90/360.2.3,14.r

r=117,75/1,57

r=75

Harlamova29_29 [7] · Answer 2 · 2022-03-25T20:58:31+03:00

7 0

The formula for arc length of a circle is given by:

Arc length = $\frac{x}{360}*2\pi r$

Where,

Putting <em>x=90° into this formula and 117.75 into arc length</em>, and solving for r, gives us:

$\frac{90}{360}*2 \pi r=117.75\\(0.25)*2(3.14)r=117.75\\1.57r=117.75\\r=\frac{117.75}{1.57}=75$

Hence, the radius is 75 inches.

ANSWER: 75 in