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Mathematics

Grade9

Easy

Question

A circle has a circumference of 6. It has an arc of length $fraction numerator 17 over denominator 3 end fraction$ . What is the central angle of the arc, in degrees?

350
280
340
260

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: 340

Arc length = ( $fraction numerator a n g l e blank o f blank a r c over denominator 360 end fraction$ ) ×circumference
$fraction numerator 17 over denominator 3 end fraction$ =( $fraction numerator X over denominator 360 end fraction$ )×6
X = 340 degrees

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