Question

In a circle of radius 4.5 cm draw two radii such that the angle between them is 70${}^o$. Construct tangents at the non-centre ends of the radii.

Answer 1

• Draw a circle of radius $4.5cm$
• Take a point $A$ on the circle and join $OA$
• Make an angle ${70}^o$ with the radius $OA$ on vertex $O$ and join $OB$
• Taking $OA$ and $OB$ as base and $A$ and $B$ as vertex, draw perpendiculars $XT$ and $YT$
• These perpendiculars intersects at $T$

$XT$ and $YT$ are the required tangents.