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# Part Circles

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by

## Mr Mattock

on 25 May 2016

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#### Transcript of Part Circles

Part Circles
Starter
Arc length and Sector area
Examples
L.O. - Find arc length and sector area, and use them to solve part circle problems.
8 cm
i) Find the circumference of the circle.

ii) What would the arc length of the semi circle
be?
6 cm
What is the circumference and area
of the circle?

What would the arc length and
sector area of a single degree sector
of the circle be?

What would the arc length and sector area of a 23 degree sector of the circle be?
Find the perimeter and area of both of these shapes.
Main Activity 1
Red
Amber
Green
Main Activity 1
Red
Amber
Green
Perimeter = 61.7

Area = 226
Perimeter = 25.0

Area = 38.5

Perimeter = 92.1

Area = 402
Perimeter = 41.1

Area = 49.2
Perimeter = 74.5

Area = 254

Perimeter = 201

Area = 2630
Perimeter = 17.0

Area = 17.5
Perimeter = 32.8

Area = 67.0

Perimeter = 38.7

Area = 80.1
Exam question
Starter
8 cm
i) Find the circumference of the circle.

x 8 = 25.1 cm

ii) What would the arc length of the semi circle
be?

25.13274123/2 = 12.6 cm
Arc length and Sector area
6 cm
What is the circumference and area
of the circle?
Circumference = 37.7 cm
Area = 113.1 cm
What would the arc length and
sector area of a single degree sector
of the circle be?
37.7/360 = 0.105 cm
113.1/360 = 0.314 cm
What would the arc length and sector area of a 23 degree sector of the circle be?
23 x 0.105 = 2.41 cm
;
23 x 0.314

= 7.23 cm
2
2
2
Examples
Find the perimeter and area of both of these shapes.
Arc Length =
x 22/2 = 34.6 cm

Perimeter = 34.6 + 3 x 22
= 100.6 cm
Area of semi circle = x 11 /2 =
190.07 cm
190.07 + 22 = 674.1 cm
2
2
2
2
Arc Length =
x 20 x =
6.11 cm

Perimeter =
6.11 + 2 x 10
= 26.11 cm
Area = x 10 x = 30.5 cm
2
2
35
360
35
360
Exam question
Activities
Activity