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The arc length of arc DF measures 30 m. What is the area of the circle?

The arc length of arc DF measures 30 m. What is the area of the circle?-example-1

1 Answer

10 votes

Answer:

Explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r Multiply both sides by 360

30*360 = 100 * 2 * pi * r Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

User Jjkester
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