Question

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle? r = Six-fourteenths r= Fourteen-sixths r = 6 14 r = 6 times 14.

Answer 1

Any smooth curve connecting two places is called an arc. The arc length is the measurement of how long an arc is. The radius of the circle is 14/6 inches.

What is an arc?

Any smooth curve connecting two places is called an arc. The arc length is the measurement of how long an arc is.

We know that the length of the arc is 14 inches, while the angle made by the arc at the centre of the circle is equal to 6 radians.

$\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}$

Substituting the values, we will get,

$14 = 2\pi r \times \dfrac{6}{2\pi}\\\\r = \dfrac{14}{6}$

Hence, the radius of the circle is 14/6 inches.

Learn more about Arc:

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Answer 2

Answer:

B r= 14/6

Step-by-step explanation:

to avoid all of the reading up there^ here ya go