Mathematics 4024 · O Level · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The sketch represents a shaded region inside a large circle with centre O. The large circle has radius 10 cm. OAB is a sector of a smaller circle, also with centre O. The smaller circle has radius 7 cm and the sector angle is 130^{\circ}. Point C lies on the circumference of the large circle, and AC = BC.

(main)[5]

Calculate the percentage of the large circle's area that is shaded.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A result in the $62.1\%$ to $62.13\%$ interval” …

Full mark scheme, point by point
Step-by-step worked solution
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