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AOB is a sector of a circle, centre O and radius 12 cm. The length of arc AB is 15 cm. Find the area of the sector.​

AOB is a sector of a circle, centre O and radius 12 cm. The length of arc AB is 15 cm-example-1
User Sasith
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1 Answer

20 votes
20 votes

The formula to find the arc length of a circle = θ/360 ×2××r

The formula to find the area of a sector= θ/360××r²

The only thing missing is "θ"

The arc length is given to be 15cm so basically θ/360×2×3.14×12 = 15

θ= 360×15 ÷ 2×3.14×12 = 5400÷ 75.36= 71.65

now that we found "θ" we just continue with the formula to find the area of a sector (θ/360×r²)

=71.65×3.14×12²= 90cm

(it's a bit complicated but i hope this helped i tried to simplify it as much as i could)

User Ricardo Rod
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