Question

3.5 cm
30°
Q
A А
(ii) Draw a circle with centre
O and radius 3.5 cm.
Locate a point Q in the
plane of the circle such
O
the tangent drawn from
Q to the circle makes an
(Analytical figure)
angle of 30° with OQ with the help of following steps.
Consider the analytical figure as shown. Let OQ intersect
the circle at A as shown and tangent from Q to the circle
touch the circle at P then,
(a) What will be the measure of ZAOP?
(b) Thus by drawing the central ZAOP, P is located.
Construct tangent at P and locate Q.
(C) Measure OQ and relate it with OP.​

Answer 1

Answer:  1) Draw a circle of radius OQ= 3.5cm with centre at O.

2) Draw an angle of 90 from point O.

3) Let ray of angle intersect the circle at R.

4) Now draw 90 from point Q

5) Draw 90 at point R.

6) These two arcs meet each other, mark the point as P

PQ and PR are the two tangents inclined at angle of 30

Now ∠AOB=90 and ∠APB=30

∠AOB-∠APB=60