Each pond is in the shape of a circle.
3
The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
C = πα
A = Tr?
The area of the large pond is 8 times the area of the small pond.
The area of the large pond is 16 times the area of the small pond.
The area of the large pond is 2 times the area of the small pond.
The area of the large pond is 4 times the area of the small pond:
Answers
Answer:
Sorry don't know the answer..
Given : Each pond is in the shape of a circle.
The radius of the large pond is 4 times the radius of the small pond.
To Find : which of the following statements is TRUE
The area of the large pond is 8 times the area of the small pond.
The area of the large pond is 16 times the area of the small pond.
The area of the large pond is 2 times the area of the small pond.
The area of the large pond is 4 times the area of the small pond:
Solution:
Radius of small pond = k
then Radius of large pond = 4k
Area of circle = π(radius)²
Area of small pond = πk²
Area of large pond = π(4k)² = 16πk²
Area of large pond = 16 x Area of small pond
The area of the large pond is 16 times the area of the small pond.
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