Question

What is the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m? Round your answer to the nearest square meter.
a. 63 m2
b. 16 m2
c. 22 m2
d. 101 m2

Answer 1

Hi there,


Area of a circle with 4m = π(2)² = 4π m²
 
Area of a circle with 6m = π(3)² = 9π m²

Difference = 9π - 9π = 5π = 16 m² (nearest m²)

Answer: 16 m² (Answer B)


Hope it helps,
TF

Answer 2

Answer:

Option b is correct

16 $m^2$

Step-by-step explanation:

Area of circle (A) is given by:

$A = \pi r^2$

where, r is the radius of the circle.

As per the statement:

the areas of a circle with diameter 4 m

Formula for Diameter(d) is:

$d = 2r$

⇒$4 =2r$

Divide both sides by 2 we get;

r = 2 m

then;

$A= \pi \cdot (2)^2 = 4 \pi$

It is also given: a circle with diameter 6 m

Similarly;

$6 = 2r'$

⇒$r' = 3 m$

then;

$A' = \pi \cdot 3^2 = 9 \pi$

We have to find the difference in these areas:

$A'-A = 9 \pi -4 \pi = 5 \pi$

Use $\pi = 3.14$

then;

$A'-A = 5 \cdot 3.14 = 15.7 m^2 \approx 16 m^2$

Therefore, the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m is, $16 m^2$