Question

Find the area of each figure and round to the nearest tenth if necessary

Answer 1

Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

`A=(1)/(2)\pi r^2`

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

`Area=(1)/(2)\pi (3)^2+(1)/(2)\pi (2.5)^2`

`Area=(1)/(2)\pi (9)+(1)/(2)\pi (6.25)`

`Area=14.137167+9.817477`

`Area=23.954644`

Round the value to the nearest tenth (one decimal place.

`Area\approx 24.0`

Therefore, the area of given figure is 24.0 sq. cm.