Question

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answer 1

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Geometry

• Diameter: d = 2r
• Area of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

1. Substitute [D]:                    30 m = 2r
2. Isolate r:                             15 m = r
3. Rewrite:                              r = 15 m
4. Substitute [AC]:                 A = π(15 m)²
5. Rearrange:                        A = 15²π