Question

What angle does an arc 5.5cm in length subtend at the centre of a circle of diameter 7cm
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Answer 1

Below.

Explanation:

7cm

(r) = 3.5cm

l = 5.5cm

Arc length = (Ѳ/360)2∏r

5.5 = (Ѳ/360)2*3.14*3.5

5.5 = (Ѳ/360)21.98

Divide 21.98.

5.5/21.98 = Ѳ/360

Ѳ/360 = 0.25

x 360.

Ѳ = 90

Arc angle is 90 degrees.