Question

ii) Draw a circle with centre O and radius 3.2 cm. Take points A and B on the circle
such that Angle AOB = 60°. Let the bisector of Angle AOB intersect the circle in point K.Draw a circle passing through K such that ray OA and ray OB are tangents to it.​

Answer 1

A circle with centre O and radius 3.2 cm taking points A and B on the circle with the angle AOB = 60° is drawn as follows:

• A point O is taken as refernece and with radius 3.2cm a circle is drawn.
• Points A and B are marked on the circle such that angle AOB = 60°.
• The bisector of angle AOB is constructed and it intersects the circle in at point K.
• A circle is drawn passing through K such that ray OA and ray OB are tangents to it.​

Answer 2

Drawn the required circle

• Draw a circle of radius 3.2 cm with center of circle as O

• Marked two points A & B such that angle AOB = 60°

• Now , Bisect angle AOB and let the angle bisector OK intersect circle at point K

• Draw a circle passing through point K such that it just touches OA & OB

Which means , that OA & OB are tangent to the new circle which is passing from K