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:

Step-by-step explanation:

Answer will be (2.5)^c

Answer 2

Answer:

143.312°

Step-by-step explanation:

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

To Find : What is the angle subtended at the center in degree

Solution:

Length of arc =$2 \pi r \frac{\theta}{360^{\circ}}$

Length of arc= 10 cm

Radius = 4 cm

Substitute the values in the formula :

$10=2 \pi (4) \frac{\theta}{360^{\circ}}$

$\frac{10 \times 360}{2 \pi (4)}=\theta$

$143.312=\theta$

Hence the angle subtended at the center in degree is 143.312°