What is the area of a circle with radius 6? (Use π ≈ 3.14)

What is the area of a circle with radius 6? (Use π ≈ 3.14)

• A. 113.6
• B. 113.04
• C. 116.58
• D. 117.85

Answer: (B)

To find the area of a circle, the formula used is A = πr², where A represents the area, π is a constant (approximately 3.14), and r is the radius of the circle. For a circle with a radius of 6, the calculation proceeds as follows: 1. **Calculate r²**: Multiply the radius by itself: \( r² = 6 × 6 = 36 \). 2. **Multiply by π**: Now, insert the value of r² into the area formula: \( A = π × 36 \). Substituting the approximate value of π (3.14) into the equation gives: \( A ≈ 3.14 × 36 \). 3. **Perform the multiplication**: \( 3.14 × 36 = 113.04 \). This result indicates that the area of the circle with a radius of 6 is approximately 113.04 square units. Thus, this calculation supports the conclusion that the correct answer is the option providing this area.

To find the area of a circle, the formula used is A = πr², where A represents the area, π is a constant (approximately 3.14), and r is the radius of the circle. For a circle with a radius of 6, the calculation proceeds as follows:

1. Calculate r²: Multiply the radius by itself:

( r² = 6 × 6 = 36 ).

2. Multiply by π: Now, insert the value of r² into the area formula:

( A = π × 36 ).

Substituting the approximate value of π (3.14) into the equation gives:

( A ≈ 3.14 × 36 ).

3. Perform the multiplication:

( 3.14 × 36 = 113.04 ).

This result indicates that the area of the circle with a radius of 6 is approximately 113.04 square units. Thus, this calculation supports the conclusion that the correct answer is the option providing this area.