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)

Question

 
Explain how to do this process to a 5 year old, and give the answer.

Answer 1

To find the area of a circle, we use a special formula that tells us how big the circle is inside. The formula is:

Area = π × radius × radius

"π" (which we can pretend is a funny number and use 3.14 for it) helps us find out how much space is inside the circle, and the "radius" is how far it is from the middle of the circle to the edge.

Now, let’s do the math together!

1. First, we need to know the radius, which is 75 mm.

2. Now, we are going to multiply the radius by itself to see how big the circle is:

   • 75 mm × 75 mm = 5625 mm²

3. Next, we multiply that number by 3.14 (that funny number π):

   • 3.14 × 5625 = 17662.5 mm²

So the area of the circle is about 17662.5 mm².

Now, let’s round that to the tenths place. The tenths place is the first number right after the decimal point. In our answer, 17662.5, that number is already 5, so we keep it as it is.

So, the approximate area of the circle is 17662.5 mm²! 🎉