Question

Which choices best represents the area of the figure below? Use TT= 3.14A: 76.93 centimeters squaredB: 153.86 centimeters squaredC: 196 centimeters squaredD: 615.44 centimeters squared

Answer 1

A. 76.93 centimeters squared

Step-by-step explanation:

The area of a semicircle can be calculated using the following equation:

`\text{Area = }(\pi\cdot r^2)/(2)`

Where r is the radius of the circle and π is equal to 3.14.

From the figure, we know that the diameter of the semicircle is 14 cm.

Additionally, the radius of the circle is half of the diameter, so the radius of the semicircle is 7 cm.

Therefore, replacing r by 7 and π by 3.14, we get that the area is equal to:

`\text{Area = }(3.14\cdot(7^2))/(2)=(3.14\cdot(49))/(2)=76.93cm^2`

So, the area of the figure is 76.93 centimeters squared