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Mathematics

Grade9

Easy

Question

Below is a sector of a circle with an arc length of $6 pi$ cm and a radius of 10 cm. Find the size of the angle labeled x.

91°
108°
95°
86°

hint Hint:

Arc length = $fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r$

The correct answer is: 108°

Correct attempt to form an equation for the arc length
$6 pi equals fraction numerator x over denominator 360 end fraction cross times 2 cross times pi cross times 10$
Attempt to solve equation for x, with one step completed correctly
6 = $fraction numerator x over denominator 360 end fraction cross times 20$
0.3 = $fraction numerator x over denominator 360 end fraction$
=108

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