Question

If the area of the
triangle is 24 square
units, what is the
area (in square units)
of the semicircle in
it?​

Answer 1

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 =

2

1

×b×h formula for the area of a triangle becomes

A =

2

1

×2×r×r because:

The base of the triangle is equal to 2×r

The height of the triangle is equal to r

A =

2

1

×2×r×r becomes:

A = r

2