Find the area of a sector determined by a 315degrees° angle in a circle of radius 4.
Question
Solution 1
The formula to find the area of a sector is given by:
Area = (θ/360) * π * r²
where: θ = angle of the sector in degrees r = radius of the circle
Given: θ = 315 degrees r = 4 units
Substitute these values into the formula:
Area = (315/360) * π * 4²
Simplify the equation:
Area = (7/8) * π * 16
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