Question

Draw a circle of radius 4.2 cm. Draw a pair of tangents to this circle inclined to each other at an angle of ${45}^{\circ }$.

Answer 1

Steps of Construction:

Step 1: A circle of radius 4.2 cm at center O is drawn.

Step 2: A diameter AB is drawn.

Step 3: With OB as the base, an angle BOC of 45 degree is drawn.

Step 4: At A, a line perpendicular to OA is drawn.

Step 5: AT C, a line perpendicular to OC is drawn.

Step 6: These lines intersect with each other at P.

PA and PC are the required tangents.