Question

The center of the circle is located at (-4,-3). What is the area? Use 3.14 as an approximation for pi.

Answer 1

78.5 units²

Explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

• ⇒ Radius according to graph: 5 units

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

• ⇒ Area of circle = πr²
• ⇒ Area of circle = π(5)²

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

• ⇒ Area of circle = π × (5)²
• ⇒ Area of circle = π × 5 × 5
• ⇒ Area of circle = π × 25
• ⇒ Area of circle ≈ 3.14 × 25 [π = 3.14]
• ⇒ Area of circle ≈ 78.5 units²