Complete the table to show the area of each circle.
6π m²
36 m²
9 m
6 m
9 m²
36π m
Complete the table to show the area of each circle
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To find the area of each circle, you can use the formula for the area of a circle, which is ( A = πr^2 ), where ( A ) is the area and ( r ) is the radius.
1. 6π m²: This area corresponds to a radius ( r ) where ( A = πr^2 ). Solving ( 6π = πr^2 ) gives ( r^2 = 6 ), so ( r = √6 ).
2. 36 m²: Here, using ( A = πr^2 ), we have ( 36 = πr^2 ). Thus, ( r^2 = 36/π ).
3. 9 m: This is the radius, so we can calculate the area using the formula. ( A = π(9^2) = 81π ) m².
4. 6 m: Again, this is the radius. ( A = π(6^2) = 36π ) m².
5. 9 m²: This area gives us ( A = 9 = πr^2 ), yielding ( r^2 = 9/π ).
6. 36π m: This is a little ambiguous, but if we assume it’s the area, then similar to above, the radius would be ( r^2 = 36π