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Mathematics

Grade9

Easy

Question

The sector below has an arc length of 62 cm and a radius of 18.5 cm. Calculate the length of x.

186°
146°
192°
175°

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: 192°

Arc length = $fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r$
62 = $fraction numerator x over denominator 360 end fraction cross times 2 cross times pi cross times 18.5$
62 = $fraction numerator x over denominator 360 end fraction cross times 37 cross times pi$
$fraction numerator 62 over denominator 37 end fraction$ = $fraction numerator x over denominator 360 end fraction cross times pi$
0.533384… = $fraction numerator x over denominator 360 end fraction$
192.018… = x

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