Question

Draw a circle with centre 'O' and radius 3.5 cm and draw diameter AOB in it. Draw angles in semi-circles on either side of the diameter. Measure the angles and verify that they are right angles.

Answer 1

• Draw a circle of radius $r=3.5cm$
• Take two points $P$ and $Q$ in either side of diameter $AOB$
• From measurement it is found that $\angle APB=\angle AQB={90}^o$

This states the proof of theorem: Angle made by diameter and any point on circumference is ${90}^o$