Question

Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.

A)Write a formula for the area of the figure below. (5pts)

Answer 1

A = 8a +
`(1)/(2)`πa²

Explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle =
`(1)/(2)`πr² ( r is the radius = a )

=
`(1)/(2)`πa²

Then area (A ) of figure is

A = 8a +
`(1)/(2)`πa² ← factor out
`(1)/(2)` a from each term

=
`(1)/(2)` a(16 + aπ)