A wheel with a 24-in radius is marked at 2 points on the rim. the distance between the marks along the wheel is found to be 6 in. What is the angle between the radii to the marks?

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A wheel with a 24-in radius is marked at 2 points on the rim. the distance between the marks along the wheel is found to be 6 in. What is the angle between the radii to the marks?

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Answer 1 · 2016-06-18T15:32:40

Since any point on the circumference of a circle is an equal distance from the center, therefore, the radiuses are equal distances from the two points--both measure 24 inches.

Explanation:

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We now have enough information to deploy the formula $s = theta xx r$ , where s is the arc length (6 inches in this case), $theta$ is the center angle in radians and $r$ is the radius.

Therefore, we have that:

$6 = 24 xx theta$

$6/24 = theta$

$theta = 1/4" radians" or "14.32˚"$

Hopefully this helps!

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A wheel with a 24-in radius is marked at 2 points on the rim. the distance between the marks along the wheel is found to be 6 in. What is the angle between the radii to the marks?

1 Answer

Explanation:

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