Question

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2
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4
in.
A)
If the central angle of a circle measures 42 degrees and the radius is 14 inches long, then how longis the arc intercepted to the nearest inch?
(1 point)
m
A)
A circle with a circumference of 125 meters has a central angle of 72 degrees. What is the length ofthe arc it creates?
(1 point)
A)
If a circle has a circumference of
and a central angle of 90 degrees is drawn, then what is thelength of the minor arc?
(1 point)
20π
A)
If a circle has a radius of 6 cm and a central angle of
, then what is the length of the arc createdby the angle?
(1 point)
5π
4
Question
5
A)
If a pizza with a 24-inch diameter is cut into 12 equal pieces, then what is the length of the crustalong the edges that are cut?
(1 point)

Answer 1

1) s = r·θ (θ in radians). θ = 42° = 42·π/180 = 7π/30, so s = 14·(7π/30) = 49π/15 ≈ 10.27 in → 10 in (to nearest inch).

2) s = (θ/360)·C = (72/360)·125 = (1/5)·125 = 25 m.

3) C = 20π, θ = 90° → s = (90/360)·20π = 1/4·20π = 5π.

4) θ = 5π/4 (radians), r = 6 cm → s = r·θ = 6·(5π/4) = 15π/2 cm.

5) Diameter 24 in → r = 12 in. Each slice angle = 360/12 = 30°. Arc length = (30/360)·2πr = (1/12)·24π = 2π in.