Areas Related to Circles — sample questions with answers.

2901 verified areas related to circles questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): The length of the arc of a sector of angle

in a circle of radius

cm is

cm.
Reason (R): The circumference of a circle of radius

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(B)

2 marks Short answer

A sector of a circle of radius

cm has area

. Find the central angle of the sector.

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3 marks Short answer

The arc of a sector of a circle of radius

cm has length

cm. Find the angle of the sector and its area.

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;

5 marks Long answer

A brooch is made of silver wire in the shape of a circle of diameter

mm. The wire is also used to make

diameters which divide the circle into

equal sectors. Find the total length of the silver wire required, and the area of each sector of the brooch.

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Wire

mm; each sector

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