1

Problem

A billiards table has a horizontal radius of measurement 8 cm and a vertical radius of 5 cm. Calculate the area of the ellipse.(π = 3.14)

2

Step

Given that the horizontal radius (a) and the vertical radius (b) is

8 cm and 5 cm

3

Formula

To calculate the area of an ellipse, you can use this simple formula: \$"Area" = π \times "horizontal radius" \times "vertical radius"\$.

4

Step

Substitute the values into the formula

\$Area = 3.14 \times 8 \times 5\$

Area = \$125.66 cm^2\$

5

Solution

So, the area of the ellipse is \$125.66 cm^2\$.

6

Sumup

Please summarize steps

Choices

7

Choice-A

This option is incorrect, significantly exceeding the calculated area size

Wrong \$540.5 cm^2\$

8

Choice-B

This is the correct option. It matches the calculated area of the \$125.66(cm)^2\$ when rounded to two decimal places

Correct \$125.66 cm^2\$

9

Choice-C

This is another incorrect calculation. Using the given dimensions and the area formula, there is no logical way to arrive at this number

Wrong \$504.5 cm^2\$

10

Choice-D

This option is incorrect, significantly exceeding the calculated area size

Wrong \$545.5 cm^2\$

11

Answer

Option

B

12

Sumup

Please summarize choices