Use 3.14 for π to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary.
A circle is shown. A dashed line extends across the circle through a point at the center connecting points on opposite sides of the circle. This dashed line segment is labeled 28.2 meters. (1 point)
44.27 m2
177.1 m2 *
624.26 m2
2,497.05 m2
Well, since we're using 3.14 for π, we can use the formula for the area of a circle which is A = πr^2, where r is the radius.
Now, the diameter is given, so we know that the radius is half of that. If the diameter is 28.2 meters, then the radius is 28.2 divided by 2, which is 14.1 meters.
Plugging that into the formula, we get A = 3.14 * (14.1)^2. Let me whip out my calculator... *humming a circus tune*
And the estimated area of the circle is 177.1 square meters! Ta-da! 🎪🎉
So, based on my hilarious calculations, the correct answer is 177.1 m2!
To estimate the area of a circle, you can use the formula A = πr^2, where A is the area and r is the radius.
Given that the diameter is 28.2 meters, we divide it by 2 to get the radius.
Radius = Diameter / 2
Radius = 28.2 m / 2
Radius = 14.1 m
Now, we can substitute the value of π as 3.14 and the radius as 14.1 into the formula.
A = 3.14 * (14.1)^2
A = 3.14 * 198.81
A ≈ 624.26 m^2
Rounding this to the nearest hundredth, the estimated area of the circle is approximately 624.26 m^2.
Therefore, the correct answer is 624.26 m^2.
To estimate the area of a circle, we can use the formula A = πr^2, where A is the area and r is the radius of the circle.
Given that the diameter of the circle is 28.2 meters, we can find the radius by dividing the diameter by 2. So, the radius (r) is 28.2 / 2 = 14.1 meters.
Now, substitute the value of π as 3.14 and the radius as 14.1 into the formula:
A = 3.14 * (14.1)^2 ≈ 3.14 * 198.81 ≈ 624.2664 m^2.
Rounding the answer to the nearest hundredth, the estimated area of the circle is approximately 624.27 m^2.
Therefore, the correct option is 624.27 m^2.
so, the radius is 28.2/2 = 14.1 m
That makes the area 3.14 * 14.1^2 = __________ m^2