Question

What angle does an are 6.6cm in length substend at the length of circle of radius 14cm ?use 22/7

Answer 1

Given : Length of arc is 6.6 cm and radius is 14cm

To find : Angle substend at centre

Solution :

To find the angle made at the centre by an arc, we can use the following formula ::

» L = (π r θ) /180°

Here :

• L = length of arc
• r = radius
• θ = angle substend at the centre by arc

By rearranging the formula::

» θ = (180° L) /( π r)

» θ = (180° × 6.6 × 7)/(22 × 14)

» θ = 27°

This is the required angle.