Hi,
Find the central angle to the nearest tenth of a degree that intercepts an arc of length 1 foot on a circle of radius 8 feet.
I know the formula but still I'm a bit confused with this part.
Thanks.
Find the central angle to the nearest tenth of a degree that intercepts an arc of length 1 foot on a circle of radius 8 feet.
I know the formula but still I'm a bit confused with this part.
Thanks.
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theta * r = L
theta is the angle in radians
r is the radius
L is the Arc length
Divide both sides by r and we get
theta = L/r
theta = 1/8
We need to convert this to degrees
180º = π
1/8 * 180º/π = 7.2º
theta is the angle in radians
r is the radius
L is the Arc length
Divide both sides by r and we get
theta = L/r
theta = 1/8
We need to convert this to degrees
180º = π
1/8 * 180º/π = 7.2º