Question: "The length of an arc of a circle..."

adocidasiaqxm

Answered question

2022-05-08

The length of an arc of a circle is 12 cm. The corresponding sector area is 108 cm

^{2}

. Find the radius of the circle.
I have not attempted this question and do not understand how to solve this.

Erika Ayers

Beginner2022-05-09Added 12 answers

θ

is the central angle in radians and

r

is the radius, we can write the two following equations:

r θ = 12

and

\frac{1}{2} θ r^{2} = 108.

Dividing the first equation into the second, we have that

\frac{1}{2} r = 9,

so r=18.

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