Calculate the difference between the area of a circle with radius 2cm and square with side 2cm.
area of circle = π(2^2) = ...
area of square = 2^2 = .....
how do they differ ?
Find the area and circumference of a circle with radius 2cm. Use the value 3.14 for n, and do not round your answer. Be sure to include the correct units in your answers .
To calculate the difference between the area of a circle with radius 2 cm and a square with side 2 cm, we need to first find the areas of both shapes and then subtract them.
Let's start with the circle:
1. The formula to calculate the area of a circle is A = π * r^2, where A represents the area and r represents the radius.
2. Given that the radius of the circle is 2 cm, we can substitute this value into the formula: A = π * (2 cm)^2.
3. Compute the area: A = 4 * π cm^2 (approximately 12.57 cm^2).
Now let's find the area of the square:
1. The formula to calculate the area of a square is A = s^2, where A represents the area and s represents the side length.
2. Given that the side length of the square is 2 cm, we can substitute this value into the formula: A = (2 cm)^2.
3. Compute the area: A = 4 cm^2.
Finally, we can find the difference between the areas:
Difference = Area of Circle - Area of Square
= 12.57 cm^2 - 4 cm^2
= 8.57 cm^2.
Therefore, the difference between the area of a circle with a radius of 2 cm and a square with a side length of 2 cm is approximately 8.57 cm^2.