GRADE 10
1. Convert each of the following angles from radians to
degrees, giving your answer correct to 1 decimal place.
(a)
(b)
(i)Show that OP is approximately 3.50 cm.
(ii) Find the length of AP.
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(iii) Find the area of the shaded region.
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5. In the figure, O is the center of a circle of radius
26 cm. The length of minor arc is 52 cm.
(c) 3.2
(d) 2.56
2. Convert each of the following angles from degrees to
radians.
(a) 37.4°
(b) 78.9°
(c) 142°
(i) Show that angle AOB is approximately 114.6°.
(d) 308°
(ii) Hence, find the area of major sector OAPB.
3. Copy and complete the table for sectors of a circle.
6. In the figure, O is the center of a circle of radius
26 cm. The length of minor arc is 52 cm.
Radius
(a)
(b)
(c)
(d)
(e)
(f)
7cm
35 cm
Angle
at
center
72°
Arc
length
Area
Perimeter
136 mm
270°
150°
14 m
75°
1848 mm2
220 cm
55 m
154 mm2
(i) Show that angle AOB is approximately 126.1°.
4. In the figure, AB is an arc of circle centre O and radius 16
cm. P is a point on OB such that AP is perpendicular to OB
and angle AOB = 1.35 radians.
(ii) Hence, find the area of major sector OAPB.
7. In the figure, ABCD is a trapezium in which AB is
parallel to DC, AB = 19 m, DC = 15 m and angle DCB
is 90 degrees. PXB is an arc of a circle centre A and
PYC is an arc of a circle centre D.
(i)Show that angle ADC is approximately 96.8°.
(ii) Hence, find the area of the shaded region.