Answer the following
1. Calculate the area of this sector
2. The diagram shows the rear wiper on a car’s back window.
The rear glass is in the shape of a trapezium with sizes given.
The wiper blade is 40 centimetres long and it sweeps through an angle of 105°.
Calculate the area of glass NOT cleaned by the wiper blade.
3. The diagram shows a table whose top is in the shape of part of
a circle with centre, O, and radius 60 centimetres.
BD is a straight line. Angle BOD is 90°.
Calculate the perimeter of the table top.
4. The diagram shows the design of an earring.
The earring consists of a circle inside an equilateral triangle.
The sides of the triangle are tangents to the circle.
The radius of the circle is 8 mm
The distance from the centre of the circle to each
vertex of the triangle is 17mm.
Calculate the perimeter of the triangle.
5. The diagram shows a ceiling in the shape of a rectangle
and a segment of a circle.
The rectangle measures 8.3 metres by 4.5 metres.
OB and OC are radii of the circle and angle BOC is 130°.
a) Find the length of OB.
A border has to be fitted around the perimeter of the ceiling.
b) Find the length of border required.
b) Find the length of border required.
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