The area of the given sector is 98.2 sq. units.
What is 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.
The area of a sector is a fraction of the area of the entire circle.
Mathematically, the area of a sector is given as;
A = θ/360 (πr²)
where;
- r is the radius of the circle
- θ is the angle subtended by the sector
The area of the given sector is calculated as follows;
In the given diagram, θ = 50⁰, r = ST = UT = 15 units
A = (50/360) x (π x 15²)
A = 98.2 sq. units
Thus, the area of the given sector is 98.2 sq. units.
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