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True or False

This a segment
It is a third of a full circle
The area is 314.16cm²
The perimeter is 40.94cm

(if false give the correct answer)

120 ^O

10cm

10:55-11:05

11:05-11:15

11:15-11:35

11:35-11:45

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Learning outcomes

- Revise key circle vocabulary

- Know the formulas for the area of a sector and the length of a arc

- Apply the formulas to questions using radians

C2 - Radians

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LO: Know the formulas for the area of a sector and the length of an arc

θ

r

Arc length Area of a sector

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1.

LO: Apply the formulas to questions using radians

Find the angle

The border of a garden pond consists of a straight edge AB length 2.4m, and a curved part C. The curved part is an arc of a circle, centre O and radius 2m. Find the length of C.

Now find the length

2.

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1.

LO: Apply the formulas to questions using radians

Find the angle

The border of a garden pond consists of a straight edge AB length 2.4m, and a curved part C. The curved part is an arc of a circle, centre O and radius 2m. Find the length of C.

Now find the length

2.

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LO: Apply the formulas to questions using radians

In the diagram of a circle of radius r cm, and angle

BOC = θ rad. Given that the area of ΔAOC is three times that of the shaded segment,

show that 3θ - 4sinθ = 0.

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LO: Apply the formulas to questions using radians

Cut out the cards and match them up. Stick them down along with the working out.

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Find the area of the sector

A - 2cm² B - 4cm²

C - 16cm² D - 32cm²

0.5rad

8cm

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Find the perimeter of the sector

A - 4cm B - 12cm

C - 16cm D - 20cm

0.5rad

8cm