## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 15 Circle Check Your Progress

Question 1.

Draw a circle of radius 2·7 cm. Draw a chord PQ of length 4 cm of this circle. Shade the major segment of this circle.

Solution:

Question 2.

Draw a circle of radius 3·2 cm and in it make a sector of angle.

(i) 30°

(ii) 135°

(iii) \(2 \frac{2}{3}\) right angles

Draw separate diagrams and shade the sectors.

Solution:

Question 3.

Draw a line segment PQ = 6·4 cm. Construct a circle on PQ as diameter. Take any point R on this circle and measure ∠PRQ.

Solution:

Question 4.

In the adjoining figure, the tangent to a circle of radius 6 cm from an external point P is of length 8 cm. Calculate the distance of the point P from the nearest point of the circumference.

Solution:

Question 5.

In the given figure, O is the centre of the circle. If ∠ABP = 35° and ∠BAQ = 65°, find

(i) ∠PAB

(ii) ∠QBA

Solution: