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Core Mathematics

Core Mathematics · Quick practice · answer shown after each question

Mensuration: circles, arcs and sectors

Question 1 of 10

Question 1 of 10

Find the area of a sector of angle 150° in a circle of radius 21 cm. (π = 22/7)

Question 2 of 10

Question 2 of 10

A garden is in the shape of a sector of a circle of radius 14 m and angle 60°. A path is laid along the curved edge only. Taking π = 22/7, find (a) the area of the garden, (b) the length of the curved edge, (c) the perimeter of the garden. (d) A circular pond of radius 7 m is dug in it. Find the remaining area.

Question 3 of 10

Question 3 of 10

The perimeter of a sector includes two radii.

Question 4 of 10

Question 4 of 10

Find the area of a sector of angle 90° in a circle of radius 3.5 cm. (π = 22/7)

Question 5 of 10

Question 5 of 10

A sector of 90° is a quarter of a circle.

Question 6 of 10

Question 6 of 10

Find the perimeter of a sector of angle 45° in a circle of radius 14 cm. (π = 22/7)

Question 7 of 10

Question 7 of 10

The perimeter of a sector is

Question 8 of 10

Question 8 of 10

Find the perimeter of a sector of angle 180° in a circle of radius 10.5 cm. (π = 22/7)

Question 9 of 10

Question 9 of 10

Find the area of a sector of angle 240° in a circle of radius 21 cm. (π = 22/7)

Question 10 of 10

Question 10 of 10

The area of a circle of radius 3.5 cm is ___ cm². (π = 22/7)

Questions written by OtisamLMS in the style of the WASSCE. They are not WAEC past questions.