Question

A sundial has a circular base with a diameter of 90 feet as shown in the diagram.

Which measurement is closest to the area of the circular base of the sundial in square feet?

Answer 1

Answer:

A ≈ 6361.7 ft²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given diameter = 90 ft, then r = 90 ÷ 2 = 45 ft

A = π × 45² = 2025π ≈ 6361.7 ft² ( to the nearest tenth )

Answer 2

Answer:

$6361.7$ square feet

Step-by-step explanation:

To find the area ($A$) of a circle, we can use the formula:

$A = \pi r^2$

where $r$ is the radius of the circle. The radius ($r$) is half of the diameter ($d$), so $r = \dfrac{d}{2}$.

Given that the diameter of the sundial's circular base is 90 feet, the radius is $r = \dfrac{90}{2} = 45$ feet.

Now, substitute this value into the area formula:

$A = \pi \times (45)^2$

$A \approx \pi \times 2025$

Since we're looking for an approximation, we can use $\pi$ as approximately 3.14:

$A \approx 3.141592654 \times 2025$

$A \approx 6361.725124$

$A \approx 6361.7 \textsf{(in nearest tenth)}$

So, the area of the circular base of the sundial is closest to $6361.7$ square feet.