Question

the diameter of circle j is 18 cm. the diameter of circle k is 31 cm. Describe how you can compare the areas of the two circles

Answer 1

To compare the areas of circle j and circle k, you can use the formula for the area of a circle, which is A = πr^2. Since we know the diameter of each circle, we can find the radius by dividing the diameter by 2. For circle j, the radius is 9 cm (18 cm / 2), and for circle k, the radius is 15.5 cm (31 cm / 2).

Next, we can plug the radius of each circle into the formula to find their respective areas. For circle j, the area is A = π(9 cm)^2 ≈ 254.47 cm^2. For circle k, the area is A = π(15.5 cm)^2 ≈ 755.14 cm^2.

Therefore, we can see that the area of circle k is larger than the area of circle j.

Answer 2

@tbone @arieonna am I correct?

Answer 3

for J
\[area~A_{1}=\pi(\frac{ 18 }{ 2 })^2=\frac{ 324\pi }{ 4 }\]
for k
\[area~A _{2}={ \pi(\frac{ 31 }{ 2 })^2 }=\frac{961\pi}{4}\]
divide
\[\frac{ A _{2} }{ A _{1}}=\frac{ \frac{ 961\pi }{ 4 } }{ \frac{ 324\pi }{ 4 } }=\frac{ 961 }{ 324 }\]