A circular wire of radius 7.5 cm is cut and bent so as to tie along the circumference of a hoop whose radius is 120 cm. Find in degrees the angle which is subtended at the centre of the hoop.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
A circular wire of radius 7.5 cm is cut and bent so as to tie along the circumference of a hoop whose radius is 120 cm. Find in degrees the angle which is subtended at the centre of the hoop.
A circular wire of radius 7.5 cm is cut and bent so as to tie along the circumference of a hoop whose radius is 120 cm. Find in degrees the angle which is subtended at the centre of the hoop.
Radius of the circular wire = 7.5 cm
∴ Length of the circular wire = 2π × 7.5 = \(\frac{1}{2}\) 15 π cm
[∴ Circumference = 2πr]
Radius of the hoop = 120 cm
Let θ be the angle subtended by the wire at the centre of the hoop, Then,
\(θ=\frac{arc}{radius}\Rightarrow θ = (\frac{15\pi}{120})°\)
\(=(\frac{\pi}{8})°=(\frac{\pi}{8}\times\frac{180}{\pi})°=22°30’\)