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Title: Measurement
Description: Topic: Measurement Sub-topics: Circumference, arc length, area, area of a sector
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Mathematics
Package #5
Unit 4
Topic: Measurement
Sub-topics: Circumference, arc length, area, area of a
sector

YOU ARE FREE TO USE YOUR CALCULATOR HERE!

NOTES PAGES
Mathematics
Topic: Measurement
Sub-topics: Circumference, arc Length, area, area of a sector
Objectives: By the grace of God,you will be able to:
a) Solve circumference of a circle
b) Solve arc length of a circle
c) Solve area of a circle
d) Solve area of a sector of a circle

The circumference of a circle
οƒ˜ The entire distance around a circle
𝐢 = 2πœ‹π‘Ÿ

The circumference and area of a circle

C = 2x3
...
24m

πΆπ‘–π‘Ÿπ‘π‘’π‘šπ‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ = 2πœ‹π‘Ÿ
π΄π‘Ÿπ‘ π‘™π‘’π‘›π‘”π‘‘β„Ž = 2πœ‹π‘Ÿ

πœƒ
360

π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘π‘–π‘Ÿπ‘π‘™π‘’ = πœ‹π‘Ÿ 2
πœƒ
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ = πœ‹π‘Ÿ 2
360

π·π‘–π‘Žπ‘šπ‘’π‘‘π‘’π‘Ÿ = 2π‘Ÿ
π‘…π‘Žπ‘‘π‘–π‘’π‘  =
πœ‹ = 3
...
14 x 5m
10 m

C = 31
...

Formula:
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ = πœ‹π‘Ÿ 2

πœƒ
360

Example: find the area of the sector of the circle below
...
14 Γ— 8π‘š Γ— 8π‘š Γ— 130
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ =
360
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ = 3
...
8π‘š2
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ =
360
π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘Ž π‘ π‘’π‘π‘‘π‘œπ‘Ÿ = 72
Title: Measurement
Description: Topic: Measurement Sub-topics: Circumference, arc length, area, area of a sector
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