Question

What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)

Answer 1

27°

Explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr ×
`(x)/(360)` = 6.6

2 ×
`(22)/(7)` × 14 ×
`(x)/(360)` = 6.6

88 ×
`(x)/(360)` = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

Answer 2

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

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STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

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Answer: The length of the arc is 8.8 cm

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hope it helpssss

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