Arcs and Sectors
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1
A garden in the shape of a circle with diameter 32m is split into 2 sectors.
The area of garden covered in grass is a sector with angle 230°.
Calculate the area of the gravel section
3 Marks
Show Answer
A = 290.42m²
2
A steel logo for a billboard is shown.
It is made of 2 identifcal sectors of a circle, as shown.
Calculate the area of steel required for the logo.
3 Marks
Show Answer
A = 11.25376m²
3
A race track designed is designing a corner of a track.
The track corner is in the shape of an arc of a circle with angle 48°.
They will be placing safety barriers on the inside and outside of the corner.
Calculate the total length of barrier needed
4 Marks
Show Answer
75.36m
4
The diagram below shows a banner for a business.
The shaded area represents the banner.
AC and BD are arcs of the circle with centre O.
The radius OB is 8m, the banner length is 3m and angle AOD is 108°.
Calculate the area of the banner
4 Marks
Show Answer
36.738m²
5
A ceiling fan is made by using 4 identical sectors of a circle.
The width of the fan is 1.8m.
Calculate the area of the ceiling fan.
4 Marks
Show Answer
0.96132735199m²
6
The diagram shows a sector of a circle.
The radius of the circle is 20cm and the angle is 144°
Calculate the length of arc AB.
Take pi = 3.14
3 Marks
Show Answer
A = 50.24cm
7
The diagram shows a sector of a circle.
The radius of the circle is 20 cm and the angle is 72 degrees.
Calculate the area of sector.
Take pi = 3.14
3 Marks
Show Answer
A = 251.2cm²