Question

Find the angle in degree subtend at the center of an circle by an arc whose length is 2.2times the radius

Answer 1

The solution of the following Question is explained well in this picture! Hope this Will Help you!

Answer 2

Answer:

The angle subtended by the arc at the center = 126°

Step-by-step explanation:

Given,

Length of the arc = 2.2times radius

To find,

The angle subtended by the arc at the center

Recall the formula

Length of the arc = $\frac{\theta}{360} X 2\pi r$, where '$\theta$' is the angle subtended by the arc at the center and r is the radius of the circle

Solution:

Since the length of the arc is 2.2 times the radius, we have

length of the arc = 2.2r

$\frac{\theta}{360} X 2\pi r$ = 2.2r

$\frac{\theta}{360} X 2\pi$ = 2.2

$\theta$ = $\frac{2.2 X360 }{2\pi }$

=$\frac{2.2 X360X7 }{2X22 }$

=126°

∴ The angle subtended by the arc at the center = 126°

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