Question

Find the radius of a circle in which a central angle of 45 degree makes an arc of length 187m

Answer 1

Here

l=187cm

θ =45°


Radian measure =45×π18045×π180

⇒π/4

Now,by r=l/θ

We have

r=187×π/4

⇒187×4×(7/22)⇒

⇒234 cm

Answer 2

Answer:

The radius of circle is 238 m

Step-by-step explanation:

Given the central angle which is 45° makes an arc of length 187 m.

we have to find the radius of circle.

First we convert angle degree to radians

$45^{\circ}=45\times \frac{\pi}{180}=\frac{\pi}{4} radians$

Now, the formula to find the length of arc

$S=r\theta$

$187=r\times \frac{\pi}{4}$

$r=187\times \frac{4}{\pi}$

$r=187\times 4\times \frac{7}{22}$

$r=238m$

The radius of circle is 238 m