A large dining room table is in the shape of a semicircle with a diameter of 12 feet. What is the area of the table? (Use π = 3.14)?

1 Answer
Jun 15, 2017

A=18πft2=56.549ft2

Explanation:

Given:
shape = semicircle [half of a circle]
d=12ft
Area=?

Formulas:
Area of Circle=πr2
d=2r [Remember radius is half the length of the diameter!]
π=3.14

Since a semicircle is HALF of a circle, multiply the area of the circle by (12) to get the area of a semicircle:
Area of Circle=πr2 Area of Semicircle=(12)πr2

The formula needs the RADIUS, not the DIAMETER. Divide diameter by 2 to get radius.
d=2r
12=2r
r=6

Substitute values for variables in the formula for *area of a semicircle.*
A=(12)πr2
A=(12)π(6)2
A=(12)π(36)
A=18π=56.549

The area of the dining room table is 18πft2 or 56.549ft2.