Welcome to our lesson on finding the area of a circle! Today we'll solve a problem where we need to find the area of a circle with radius 7 centimeters. The formula for the area of a circle is A equals pi times r squared, where pi is approximately 3.14 and r is the radius.
Let's start by identifying what we know. We are given that the radius is 7 centimeters, and we'll use pi equals 3.14 as our approximation. Our formula is A equals pi times r squared. Now we have all the information we need to solve this problem.
Now let's calculate r squared. We substitute our radius value of 7 centimeters into the formula. R squared equals 7 squared, which is 7 times 7, equals 49 square centimeters. Remember that when we square a measurement, the units also get squared, so we have square centimeters.
Now we substitute our values into the area formula. A equals pi times r squared becomes A equals 3.14 times 49. When we multiply 3.14 by 49, we get 153.86. Therefore, the area of the circle is 153.86 square centimeters. This is our final answer.