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Mathematics

Grade9

Easy

Question

A circle has a circumference of 8. It has an arc length of $fraction numerator 32 over denominator 5 end fraction$ . What is the central angle of the arc in degrees?

268°
320°
288°
316°

hint Hint:

Arc length = ( $fraction numerator a n g l e blank o f blank a r c over denominator 360 end fraction$ ) × circumference

The correct answer is: 288°

Arc length = ( $fraction numerator a n g l e blank o f blank a r c over denominator 360 end fraction$ ) × circumference
$fraction numerator 32 over denominator 5 end fraction$ = ( $fraction numerator X over denominator 360 end fraction$ ) × 8
x = 288°

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