21 P6.AP.TL.17090729
Level 2
The figure shows a circle. O is the centre and the diameter XOY is 42 cm long. Each of the shaded part is formed by the radius of the big circle and 2 identical quarter arcs. Find the total area of the shaded parts in the figure. (Take π = 227)
2 m
Square Quarter circle
22 P6.AP.TL.17090726
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
2 m
Square Quarter circle Length
23 P6.AP.TL.17090730
Level 2
The figure, not drawn to scale, consists of a rectangle ABFG, a square BCDF, and 2 identical quadrants AGE and BFD. AG = 8 cm and FG = 4 cm. Find the shaded area. (Take π = 227)
2 m
Square Rectangle Quarter circle Cut & paste
24 P6.AP.TL.17090731
Level 2
The figure is made up of 2 similar quadrants and a semicircle in a rectangle. The diameter of the semicircle is 28 cm. Find the perimeter of the shaded part. (Take π = 227)
2 m
Rectangle Semicircle Quarter circle
25 P6.AP.TL.17090728
Level 2
The figure is made up of 2 identical circles with centres O and L. OKLM is a square of sides 10 cm. Find the area of the shaded part.
2 m
Square Circle area Quarter circle
26 P6.AP.TL.17090733
Level 2
The figure is made up of 2 quadrants with radii 16 cm and 8 cm respectively. Find the perimeter of the figure. (Take π = 3.14)
2 m
Circumference Quarter circle Composite figure perimeter
27 P6.AP.TL.17090737
Level 2
Find the perimeter of the shaded figure. (Take π = 3.14)
2 m
Circumference Quarter circle Composite figure perimeter
28 P6.AP.TL.17090735
Level 2
The diagram shows a semicircle with a diameter of 21 cm. Quadrant CDB has the centre A. The line AB divides the quadrant equally into 2 parts. Find the perimeter of the shaded region. (Take π = 227)
2 m
Circumference Semicircle Quarter circle Composite figure perimeter
29 P6.AN.NK.17050212
Level 2
In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.
2 m
Circle Exterior angle of a triangle Sum of angles in a quadrilateral
30 P6.AP.TL.17090745
Level 2
The figure shows 2 identical small circles of diameter 12 cm inside a big circle of radius 12 cm. Find the area of the unshaded part of the big circle. Express the answer in terms of π.
2 m
Circle area Composite figure area
31 P6.AP.TL.17090746
Level 2
The figure (not drawn to scale) is made of two concentric circles. AB is the radius of the bigger circle. AC is the radius of the smaller circle. AB is 35 cm while AC is 14 cm. Find the area of the shaded region. (Take π = 227)
2 m
Circle area Composite figure area
32 P6.AP.TL.17090747
Level 2
This figure is made up of two semicircles. Find the area of this figure. (Take π = 227)
2 m
Circle area Semicircle Composite figure area
33 P6.AP.TL.17090741
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
2 m
Rectangle Quarter circle Composite figure area
34 P6.AP.TL.17090748
Level 2
The figure shows two identical semicircles. X and Y are the centres of the semicircles. Line AB is 60 cm. 15 of each semicircle is shaded. Find the total area of the shaded parts. (Take π = 3.14)
2 m
Circle area Semicircle Composite figure area Fraction of a whole
35 P6.AP.TL.17090753
Level 2
The figure is made up of a circle and a square, KLMO of area 25 cm2. K is the centre of the circle. Calculate the total shaded area of the figure. (Take π = 3.14)
2 m
Square Square & square root Quarter circle Composite figure area
36 P6.AP.TL.17090750
Level 2
The shaded figure is made up of 4 quarter arcs of radius 12 cm. Find its area. (Take π = 3.14)
2 m
Right-angled triangle Circle area Quarter circle Composite figure area
37 P6.AP.TL.17090752
Level 2
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 169 cm2. Find the area of the shaded parts. (Take π = 3.14)
2 m
Square Square & square root Semicircle Quarter circle Composite figure area
38 P6.AP.TL.17090740
Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
2 m
Square Semicircle Quarter circle Composite figure area Cut & paste W Round off
39 P6.AP.TL.17090749
Level 2
Find (a) the area and (b) the perimeter of the figure. (Take π = 227)
2 m
Circle area Semicircle Quarter circle Composite figure perimeter Composite figure area
40 P6.AP.TL.17090711
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
2 m
Rectangle Circle area Semicircle Quarter circle Cut & paste

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