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

Step-by-step 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:

$a=\frac{20m}{2}=10m\\b=\frac{10m}{2}=5m$

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

Answer:

628 m$^{2}$

Step-by-step 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$^{2}$