Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
Find the radius of the medium-sized circle.
Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
Express the area of the region Y as a ratio to the area of region X.
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
Find the radius of the medium-sized circle.
Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
Express the area of the region Y as a ratio to the area of region X.
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
Find the area of the shaded region.
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
