Question

Cual es el area de un semicírculo que se diámetro es 14

Answer 1

The area of a circle is given by:

`A_C=(1)/(4)\cdot\pi\cdot d^2.`

Where π ≅ 3.14 and d is the diameter of the circle.

Now, a semi-circle is a half of a circle, so its area is half of the area of the complete circle:

`A_(SC)=(1)/(2)\cdot A_C=(1)/(2)\cdot((1)/(4)\cdot\pi\cdot d^2)=(1)/(8)\cdot\pi\cdot d^2\text{.}`

Replacing the value d = 14 in the last formula, we get:

`A_(SC)=(1)/(8)\cdot\pi\cdot(14units)^2=24.5\cdot\pi\cdot units^2\cong76.97units^2.`

Answer

The area of a semicircle with a diameter d =14 is approximately 76.97 units square.