How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4

Question

1 year ago

6

.5 cm? round your answer to the nearest tenth. use 3.14 for pi.

1 answer:

Nimfa-mama [501] · Answer 1 · 2023-12-12T12:16:10+03:00

7.1 cm long is the arc intersected by a central angle .

What is length of an arc?

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle × radius

= (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

= 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm long is the arc intersected by a central angle .

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