A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

Respuesta :

arc length, s=(radius, r)(angle in radians, q)

q=tan^-1(s/r)

SO that saying the answer is 1.4 radians and the equation is probs q=7/5=1.4

The equation 7 = 5q gives the measure of the central angle, q and the measure of the central angle is 7/5 radians.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have radius of the circle r = 5 ft

Length of the arc s = 7 ft

As we know, the relation between angle and arc length:

s = rq

Here, s is the length of the arc length and r is the radius of the circle and q is the central angle.

7 = 5q

θ = 7/5

Thus, the equation 7 = 5q gives the measure of the central angle, q and the measure of the central angle is 7/5 radians.

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