EVALUATION 1
1.
![[image]](https://www.mathopolis.com/questions/images/f/5/c6ab118d4bc04847d76ef8095c42072.jpg)
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.
![[image]](https://www.mathopolis.com/questions/images/f/5/c6ab118d4bc04847d76ef8095c42072.jpg)
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.
![[image]](https://www.mathopolis.com/questions/images/6/3/574c77b4512943e4f4a79bf32326522.jpg)
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
![[image]](https://www.mathopolis.com/questions/images/c/6/1b59326d48615d90d8cf2cc646ff142.jpg)
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. ![[image]](https://www.mathopolis.com/questions/images/9/3/2e03a32602529307f2be14883adaff2.jpg)
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. ![[image]](https://www.mathopolis.com/questions/images/6/4/9207bb19da0f921f72c4dd2df2c2212.jpg)
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:![[image]](https://www.mathopolis.com/questions/images/8/c/158310da4db803e77dc8586cc3bd732.jpg)
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:![[image]](https://www.mathopolis.com/questions/images/8/8/c39d3f6a87fa0eaab2467b091b84ea2.jpg)
What is the area of the shape?
Use 3.14 as an approximation for π
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