Question

The diameter of a circle is 13 in. Find its area to the nearest whole number.

Answer 1

area=22/7×13=40.85=41 is the nearest whole number

Answer 2

The area of a circle with a diameter of 13 inches, rounded to the nearest whole number, is
`\( 133 \)` square inches.

To find the area of a circle, we use the formula:

`\[ A = \pi r^2 \]`

where
`\( A \)` is the area and
`\( r \)` is the radius of the circle. The radius is half the diameter, so for a circle with a diameter of 13 inches, the radius
`\( r \)` would be
`\( (13)/(2) \)` inches.

calculate the area step by step, rounding to the nearest whole number as requested.

1. Calculate the radius
`(\( r \))` of the circle by dividing the diameter by 2:

`\[ r = \frac{\text{diameter}}{2} = \frac{13 \text{ inches}}{2} = 6.5 \text{ inches} \]`

2. Use the area formula for a circle,
`\( A = \pi r^2 \)`, to calculate the area:

`\[ A = \pi * (6.5 \text{ inches})^2 \]`

`\[ A = \pi * 42.25 \text{ inch}^2 \]`

`\[ A = 132.732 \text{ inch}^2 \] (Using \( \pi \approx 3.14159 \))`

3. Round the area to the nearest whole number:

`\[ A \approx 133 \text{ inch}^2 \]`

Therefore, the area of the circle is approximately
`\( 133 \)` square inches when rounded to the nearest whole number.