A square measures 12 cm x 12 cm and is divided into four equal squares.If equal circles inscribed within each of the four squares, what is the circumference of each circle ?
I did one of these for you. They are fundamentally all the same.
The circumference of a circle is 2 pi r
The area of a circle is pi r^2
Hey, draw a picture.
To find the circumference of each circle, we need to determine the radius of each circle first. Here's how we can do that:
Step 1: Calculate the side length of each smaller square.
Since the large square has sides measuring 12 cm, and it is divided into four equal squares, each side of the smaller square would be 12 cm divided by 2, which is 6 cm.
Step 2: Find the radius of each circle.
Given that each smaller square has a side length of 6 cm, the diameter of each circle is equal to the side length of the square. Therefore, the diameter of each circle is 6 cm.
Step 3: Calculate the radius of each circle.
The radius is half the diameter, so the radius of each circle is 6 cm divided by 2, which equals 3 cm.
Step 4: Find the circumference of each circle.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
For each circle, the radius is 3 cm. Therefore, the circumference of each circle is:
C = 2π(3 cm) = 6π cm.
So, the circumference of each circle is 6π cm.