Question

What angle does an arc 5.5cm long subtend at the centre of a circle of diameter 7cm?

Answer 1

Answer:

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Step-by-step explanation:

so here length of an arc=5.5 cm

also diameter=7cm

so hence radius=diameter/2

=3.5 cm

so now using

length of an arc=theta/360×2pi×r

value of pi is not given here

so thus substituting as 22/7

so thus

5.5=theta/360×2×22/7×3.5

=theta/360×22×0.5

=theta/360×11

so thus theta=5.5×360/11

=360/2

=180

hence an arc of length 5.5 cm subtends an angle of 180 degree ie half the measure of circle whose radius is 3.5 cm at the centre of circle