The point (3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundredth?
THANK YOU!
clearly the radius of the circle is 3.
So, what is pi * 3^2 ?
If the point, (3,0) lies on the center, clearly it has to be the radius because half the diamenter is the radius. If u don't believe try it out urself, im sure u will get ur answer
The center is at the origin and the point (3,0) lies on the circle, so r=3
A=pie x r squared
A=pie x 3 squared
A=9 x pie
A= 28.27
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To find the area of the circle, we first need to determine the radius. The distance from the center of the circle (0,0) to the point (3,0) is the radius of the circle.
Using the distance formula, which is the square root of the sum of the squares of the differences between the coordinates, we can calculate the radius:
radius = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(0 - 3)^2 + (0 - 0)^2]
= √[(-3)^2]
= √[9]
= 3
Now that we have the radius, we can calculate the area of the circle using the formula:
area = π * radius^2
Plugging in the value of the radius we found, we can calculate the area:
area = π * (3^2)
= π * 9
≈ 28.27
So, the area of the circle to the nearest hundredth is approximately 28.27 square units.
So then how do u know that the 3 is the radius....it doesn’t say it.
Radius is 3
Pi times 3^2 = 28.27 rounded
A = 28.27 rounded