Home / iGCSE Mathematics (0580) : C5.3 Carry out calculations involving the circumference and area of a circle. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C5.3 Carry out calculations involving the circumference and area of a circle. iGCSE Style Questions Paper 1

Question

The diagram shows a circular disc with radius 6 cm.
In the centre of the disc there is a circular hole with radius 0.5 cm.
Calculate the area of the shaded section.

Answer/Explanation

Ans: 112 or 112.3 to 112.33 

Question

The diagram shows a circle, centre O.
P, Q and R are points on the circumference.
PQ = 17 cm and QR = 9cm.
(a) Explain why angle PQR is 90°.

Answer/Explanation

Ans: Angle [in a] semi-circle 

(b) Calculate the length PR.

Answer/Explanation

Ans: 19.2 or 19.23 to 19.24 

Question

In the diagram, AP is a tangent to the circle at P.
O is the centre of the circle, angle PAO = 37° and AP = 11cm.
(a) Write down the size of angle OPA.

Answer/Explanation

Ans: 90

(b) Work out the radius of the circle.

Answer/Explanation

Ans: 8.29 or 8.289 to 8.29 

Question

The diagram shows a circle, centre O.
A, B and C are points on the circumference.

Write down the mathematical name of the straight line
(a) OC,

Answer/Explanation

Ans: radius 

(b) AB.

Answer/Explanation

Ans: chord

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