Is the circumference of a circle the same as the perimeter of a rectangle?

Now perimeter of rectangle is equal to circumference of circle. Area of circle = 22/7 * r^2 = 22/7 * 21 * 21 = 22 * 21 * 3 = 1386 sq cm. The circumference of a circle and perimeter of a rectangle are equal.

How does the area of a circle relate to the area of a rectangle?

When we compared the base and the circumference we will get the base is equal to one-half the circumference. Since the circumference is equal to 2πr, the base has to be πr. Now “base x height” becomes “πr x r”. That gives us πr² which is equal to the area of the rectangle which is equal to the area of the circle.

How do you find the circumference of a perimeter?

Learn that the perimeter of a circle has its own special name, called “circumference.” The symbol is a capital C. It is calculated using the formula Pi x diameter, or 3.14 x d = C. It can also be calculated by Pi x (2 x radius) = C or 3.14 x (2 x r) = C.

Can perimeter and area be the same?

The perimeter will always be even, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

What shapes have the same area and perimeter?

A two-dimensional equable shape (or perfect shape) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.

How does the length of the rectangle relate to the circle?

Explanation: The width of the rectangle is x and the length is 4 times the width. When a quadrilateral is inscribed in a circle, the centre of the quadrilateral falls exactly on the centre of the circle. As you can see, the radius of the circle is equivalent to half the length of the diagonal of the rectangle.