Question

What's the area of an ellipse with the major axis 20 m and the minor axis 10 m? Round your answer to the nearest whole number. A. 50 m2 B. 314 m2 C. 200 m2 D. 628 m2

Answer 1

Answer: 157 m²

Explanation:

1. To solve this problem you must apply the formula for calculat the area of an ellipse, which is shown below:

`A=ab\pi`

Where:

`a` is the distance from the center to a vertex and
`b` is the distance from the center to a co-vertex.

2. So, you have:

`a=(20m)/(2)=10m\\b=(10m)/(2)=5m`

3. Then, you must substitute the values of
`a` and
`b` into the formula shown above.

4. Therefore, you obtain that the result is:

`A=(10m)(5m)\pi\\A=157.07m^(2)`

`A=157m^(2)`

Answer 2

628 m
`^(2)`

Explanation:

We know that,

the value of major axis of an eclipse = 20 m; and

the value of the minor axis of an eclipse = 10 m

The formula of finding the area of an eclipse is given below:

Area of an eclipse =
`\pi ab`

where a and b are the values for the major and minor axis (radius) of eclipse.

Area of an eclipse =
`\pi *20*10` = 628 m
`^(2)`