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:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
