Question

Determine the area of each composite figure.

The figure is a circle inside a semicircle just like the picture in this website below, the r in the picture in the website is not given.
h ttps://latex.artofproblemsolving.com/b/5/7/b576665e4dd6ec10b3ec91bcda2f520bbd9d9846.png
There is no space between the h and ttps:

The diameter of the circle is 10 cm and the diameter (the base) is 35 cm.

My answer:
A=(πD^2)/4
A=(π(35)^2)/4
A=962.11cm

A=(πD^2)/4
A=(π(10)^2)/4
A=78.54

962.11 - 78.54=883.57
my final answer is 883.57.
My textbook says 402.5cm^2

Please help me!

Answer 1

Usually the area of a circle is given in terms of its radius, not its diameter.
However your areas are correct,
BUT, don't you have a semicircle?
so it should be (1/2)(962.11cm^2) - 78.54 cm^2
= 402.52 cm^2

Answer 2

It is a circle inside a semicircle