The area of a sector of a given circle is 37.7 m².
Given that, the radius of a circle=4 m and the central angle of a circle=270°.
What is the formula to find the area of a sector?
The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.
The formula to find the area of a sector is θ/360°(πr²).
Where r is the radius of the circle and θ is the angle of the sector.
Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².
Therefore, the area of a sector of a given circle is 37.7 m².
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