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Mathematics

Grade9

Easy

Question

A sector of a circle intercepts an arc of 80 degrees. Find the probability that a randomly chosen point on the circle lies on the arc.

$\frac{4}{9}$
$\frac{2}{9}$
$\frac{1}{36}$
$\frac{1}{18}$

The correct answer is: $fraction numerator 2 over denominator 9 end fraction$

we are given that a sector of a circle intercepts an arc of 80 degrees and we are asked to find the probability that a randomly chosen point on the circle lies on the arc.
P = $fraction numerator A r c blank L e n g t h over denominator C i r c u m f e r e n c e end fraction$ = $fraction numerator 80 over denominator 260 end fraction$ = $fraction numerator 2 over denominator 9 end fraction$

Therefore the probability that a randomly chosen point on the circle lies on the arc is 2/9

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