Maths Calculate area of compound shapes with circles

Maths Calculate area of compound shapes with circles Miss Parnham 1

Calculate area of compound shapes with circles 1. Calculate the shaded areas correct 24 mm to 3 significant figures. 3 cm a) b) 48 mm 5 cm 2. In terms of π, how much area is unshaded? 2 m 2 m 2 m In this diagram, what is the ratio of c) 2 3. 2 m unshaded area to shaded area?

Calculate area of compound shapes with circles 3. OPQ and ORS are sectors of circles 4. The diagram shows an equilateral with centre O. Angle POQ is 80º. triangle PQR with side lengths 8 cm. OS = 7 cm and SQ = 3 cm. M is the midpoint of PQ. Find the area of the shaded region. N is the midpoint of PR. Give your answer correct to 3 PMN is a sector of a circle, centre P. significant figures. P Q R O 3 M 80º Q 7 cm S 3 cm P 8 cm N R Calculate the shaded area, correct to 3 significant figures.

Answers 4

Calculate area of compound shapes with circles 1. Calculate the shaded areas correct 24 mm to 3 significant figures. 3 cm a) ` b) 48 mm 5 cm 17. 9 cm² c) 5 549 mm² 3. 2 m 2. 20 m² 2. In terms of π, how much area is unshaded? Shaded area 9π - 4π + π 2 m = 6π m² 2 m 2 m Unshaded area 9π - 6π = 3π m² In this diagram, what is the ratio of unshaded area to shaded area? 1 : 2

Calculate area of compound shapes with circles 3. OPQ and ORS are sectors of circles 4. The diagram shows an equilateral with centre O. Angle POQ is 80º. triangle PQR with side lengths 8 cm. OS = 7 cm and SQ = 3 cm. M is the midpoint of PQ. Find the area of the shaded region. N is the midpoint of PR. Give your answer correct to 3 Large sector area P significant figures. = 69. 8 cm² Small sector PMN is a sector of a circle, centre P. Q Sector area Triangle area = 8. 38 cm² = 27. 7 cm² area = 34. 2 cm² R Shaded 80º Q area = O 7 cm S 3 cm 35. 6 cm² 6 M 8 cm Shaded area P R = 19. 3 cm² N Calculate the shaded area, correct to 3 significant figures.