Question

draw a circle of radius 4.2 cm. draw a pair of tangents to this circle inclined to each other at angle of 45 degrees.

Answer 1

this may help you.this diagram is so big.

Answer 2

$AB$ and $BC$ are the two tangents of the circle.

Step-by-step explanation:

Given,

Draw a circle of radius $4.2cm$ and draw a pair of tangents to this circle inclined to each other at angle of $45$°

We know,

Tangents are perpendicular with circle radius.

∴ $\angle A=\angle C=90$° and $\angle B=45$°

∴ $\angle AOC=360-90-90-45$

⇒$\angle AOC=135$°

Following steps:

• Draw a circle with radius $4.2cm$
• At center $O$,draw an angle $135$° like $\angle AOC=135$°
• At point $A$ and $C$,draw two perpendicular line which meets at point $B$

Now, $AB$ and $BC$ are the two tangents of the circle.