Revision Test 10 : Areas and circles 239
determine the true area of the land in hectares
(1 hectare= 104 m^2 ). (4)- Determine the shaded area in Figure RT10.5,
correct to the nearest square centimetre. (3)
20cm2cmFigure RT10.5- Determine the diameter of a circle, correct to
the nearest millimetre, whose circumference is
178 .4cm. (2) - Calculate the area of a circle of radius 6.84cm,
correct to 1 decimal place. (2) - The circumference of a circle is 250mm. Find its
area, correct to the nearest square millimetre. (4) - Find the area of the sector of a circle having a
radius of 50.0mm, with angle subtended at centre
of 120◦.(3) - Determine the total area of the shape shown in
Figure RT10.6, correct to 1 decimal place. (7)
7.0m10.0m6.0mFigure RT10.6- The radius of a circular cricket groundis75m. The
boundary is painted with white paint and 1 tin of
paint will paint a line 22.5m long. How many tins
of paint are needed? (3) - Find the area of a 1.5m wide path surrounding a
circular plot of land 100m in diameter. (3) - A cyclometer shows 2530 revolutions in a dis-
tance of 3.7km. Find the diameter of the wheel
in centimetres, correct to 2 decimal places. (4) - The minute hand of a wall clock is 10.5cm long.
How far does the tip travel in the course of
24 hours? (4) - Convert
(a) 125◦ 47 ′to radians.
(b) 1.724 radians to degrees and minutes. (4) - Calculate the length of metal strip needed to
make the clip shown in Figure RT10.7. (7)
30 mm rad15 mm rad15 mm rad70 mm 70 mm75 mmFigure RT10.7- A lorry has wheels of radius 50cm. Calculate the
number of complete revolutions a wheel makes
(correct to the nearest revolution) when travelling
3 miles (assume 1mile= 1 .6km). (4) - The equation of a circle is
x^2 +y^2 + 12 x− 4 y+ 4 =0. Determine
(a) the diameter of the circle.
(b) the co-ordinates of the centre of the circle.
(7)