Question

A wire of length 10 cm is bent so as to
form an arc of a circle of radius 4
cm.
what is the angle subtended at the
centre in degree ?​

Answer 1

Answer:

A wire of length = 10cm

4 cm of arc.

degree=10|4

Answer 2

Answer:

The value of angle subtended at the centre at the degree of 143.312 degrees.

Given:

A wire of length 10 cm is bent so as to form an arc of a circle of radius 4 cm.

To find:  

The angle subtended at the centre in degree ?

Solution:

Circumference of the circle = 2πr where r is the radius of the circle.

Given circumference = 10cm

10 =$\frac{2\pi r \times \theta}{360^\circ}$

10 =$\frac{8\pi \theta}{360^\circ}$

$\theta$ = 143.312 degrees.