mrstidham26 mrstidham26
  • 07-06-2021
  • Mathematics
contestada

Find the radius r of the circle. Round your answer to the nearest tenth.
M.
60°
N
10.2 yd
ס
ra
yd

Find the radius r of the circle Round your answer to the nearest tenth M 60 N 102 yd ס ra yd class=

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sreggoP
sreggoP sreggoP
  • 07-06-2021

First off we need to use the formula S = rΘ

S - is the arc length

Θ - is theta which is the radian measure

r - is the radius

In this problem we need to find r

So, our equation would look like:

S ÷ Θ = r

Before we solve though, we need to convert the degrees to radians:

To convert from degrees to radians, multiply the degrees by π/180° radians:

60 x π/180 = 1.0472

If you input the numbers you get:

10.2 / 1.0472 = 9.740

The radius is 9.7 yards.

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