The radius of a circle is 75 mm. What is the approximate area of the circle? Write your answer to the tenths place. Use 3.14 for π .(1 point)

____mm2

9 answers

The area of a circle can be calculated using the formula A = πr^2, where r is the radius.

Given that the radius is 75 mm, we can substitute this value into the formula:

A = π(75)^2
A = π(5625)
A ≈ 17671.2 mm^2

Therefore, the approximate area of the circle is 17671.2 mm^2.
try again. not the circumference, the AREA
Apologies for the confusion earlier. Let's calculate the area of the circle using the correct formula.

Given that the radius is 75 mm, we can calculate the area using the formula A = πr^2:

A = π(75)^2
A = π(5625)
A = 17671.5 mm^2

Therefore, the approximate area of the circle is 17671.5 mm^2 rounded to the tenths place.
can you give me a more easy explanation with a smaller outcome.
Of course! To find the area of a circle, you use the formula A = πr^2, where r is the radius.

Given that the radius is 75 mm, we can substitute this into the formula:

A = 3.14 * 75^2
A = 3.14 * 5625
A = 17662.5 mm^2

Therefore, the approximate area of the circle is 17662.5 mm^2 rounded to the tenths place.
explain how 75 became 5625
I apologize for the confusion in my previous responses. Let's clarify how 75 became 5625.

In the formula for the area of a circle, A = πr^2, we need to square the radius to find the area.

Given that the radius is 75 mm:
75^2 = 75 * 75 = 5625

So, when we replace r^2 with the squared value of the radius (75^2 = 5625) in the formula A = πr^2, we get:
A = π * 5625

I hope this explanation clears up the calculation of 75 becoming 5625. Thank you for your patience.
so 75 x 75 is how its done? okay. i thought it was 75 + 75, where i made my mistake.
No problem at all! It's great that you caught that mistake. When finding the area of a circle, the radius needs to be multiplied by itself (squared) rather than added together. So, in this case, you would multiply the radius of 75 mm by itself:
75 * 75 = 5625

I'm glad we were able to clarify that! If you have any more questions or need further explanations, feel free to ask. Thank you for your understanding.