The difference between areas of traingle of largest area inscribed in a circle of radius r units and a triangle of largest area inscribed in a semicircle of radius r unit is
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Step-by-step explanation:
The area of a triangle is equal to the base times the height.
In a semi circle, the diameter is the base of the semi-circle.
This is equal to 2×r (r = the radius)
If the triangle is an isosceles triangle with an angle of 45
∘
at each end, then the height of the triangle is also a radius of the circle.
A = 1/2 ×b×h formula for the area of a triangle becomes
A = 1/2 ×2×r×r because:
The base of the triangle is equal to 2×r
The height of the triangle is equal to r
A = 1/2 ×2×r×r becomes:
A = r^2
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