Answer:
25π units²
Step-by-step explanation:
As you may see, this shape is a quarter of a circle. To find it's area, you would find the area of the circle that is is a quarter of, and divide it by 4. The area of a circle is
A = πr²
where A is the area, and r is the radius. As shown in the image, the radius of the circle is 10. To find the area of the circle, plug in 10 for r into the equation of the circle.
A = π(10)²
10² is 100
A = 100π
So the area of the circle is 100π. We are not done yet. Remember, the shape is a quarter of the circle, so we still have to divide the area of the circle by 4 to find the correct answer.
100π/4 = 25π
The area of the shape would be 25π units².
I hope you find my answer helpful. :)
