EVALUATION 1
1.
The diagram shows a circle with center O and radius 42 cm.
A and B are points on the circumference such that arc AB makes an angle of 120°.
Calculate the length of the arc AB.
Use 22/7 as an approximation for π
1.
The diagram shows a circle with center O and radius 42 cm.
A and B are points on the circumference such that arc AB makes an angle of 120°.
Calculate the length of the arc AB.
Use 22/7 as an approximation for π
2.
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120° at O
Calculate the area of the sector AOB.
Use 22/7 as an approximation for π
The diagram shows a circle with center O and radius 10 cm. A and B are points on the circumference such that arc AB makes an angle of 150° at O
Calculate the area of the shaded segment.
Give your answer to the nearest cm2
4.
The diagram shows a circle with center O and radius 5 cm.
A and B are points on the circumference such that arc AB makes an angle of 3 radians at O.
Calculate the length of the arc AB.
5.
The diagram shows a circle with center O and radius 5 cm.
A and B are points on the circumference such that arc AB makes an angle of 3 radians at O.
Calculate the area of the sector AOB.
6. A piece of metal has a shape made of a square and a semicircle:
What is the perimeter of the shape?
Use (22/7) as an approximation for π
This is a shape made up of four quarter-circular arcs, each of radius 5 inches, joined together:
What is the area of the shape?
Use 3.14 as an approximation for π
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