The Circle MATHS - The Circle

Can the length of a chord of a circle be greater than its diameter ? Explain.

The diameter of a circle is 12.6 cm. State, the length of its radius.

Draw a line AB = 8.4 cm. Now draw a circle with AB as diameter. Mark a point C on the circumference of the circle. Measure angle ACB.

Draw a circle of radius 3.6 cm. In the circle, draw a chord AB = 5 cm. Now shade the minor segment of the circle.

Draw a circle of radius 4.8 cm and mark its center as P.
(i) Draw radii PA and PB such that ∠APB = 45°.
(ii) Shade the major sector of the circle

Draw a circle of radius 6 cm. In the circle, draw a chord AB = 6 cm.
(i) If O is the center of the circle, join OA and OB.
(ii) Assign a special name to ∆AOB
(iii) Write the measure of angle AOB.

Draw a circle of radius of 4.2 cm. Mark its center as O. Takes a point A on the circumference of the circle. Join AO and extend it till it meets point B on the circumference of the circle,

(i) Measure the length of AB.

(ii) Assign a special name to AB.

Draw a circle of diameter 7 cm. Draw two radii of this circle such that the angle between these radii is 90°. Shade the minor sector obtained. Write a special name for this sector.

Draw circle with diameter:  8.4 cm
In above case, measure the length of the radius of the circle drawn.

Draw circle with diameter:  6 cm
In above case, measure the length of the radius of the circle drawn.

Construct a triangle PQR in which, PQ = QR = RP = 5.7 cm. Draw the incircle of the triangle and measure its radius.

Construct a triangle XYZ in which XY = YZ= 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle and measure its circumradius.

Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.

Construct a triangle ABC with AB = 4.2 cm, BC = 6 cm and AC = 5cm. Construct the circumcircle of the triangle drawn.

AB is a ______ of the circle.

If PQ is 8 cm long, the length of RS = ________

If the length of RS is 5 cm, the length of PQ = _______

________ is a radius of the circle.

Diameter = 2 x ________

The diameters of a circle always pass through the same point in the circle.

Every diameter bisects a circle and each part of the circle so obtained is a semi-circle.

The longest chord of a circle is its diameter.

If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.

The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:
(a) OP = 10.6 cm
(b) OP = 6.8 cm
(c) OP = 8 cm

Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.