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Mathematics

Grade9

Easy

Question

The sector below has an arc length of 20 cm and an angle of $125 to the power of ring operator end exponent$ . Calculate the length of x.

8.76
4.56
7.87
9.17

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: 9.17

Arc length = $equals fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r$
20 = $fraction numerator 125 over denominator 360 end fraction cross times 2 cross times pi cross times x$
20 = $fraction numerator 25 over denominator 36 end fraction cross times pi cross times x$
$fraction numerator 144 over denominator 5 end fraction$ = $pi cross times x$
9.16732… = x

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