How do you find the area of a circle circumscribed about a square?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units. The area of a circle of radius r units is A=πr2 .

What is the area of a circle circumscribed about a square each side of which is 10 cm?

Answer: The area of the circle is 78.5 square inches. Step-by-step explanation: Given : A square each side of which is 10 cm.

How do you find the radius and area of a circle circumscribed?

Given A, B, and C as the sides of the triangle and A as the area, the formula for the radius of a circle circumscribing a triangle is r = ABC / 4A and for a circle inscribed in a triangle is r = A / S where S = (A + B + C) / 2.

What is the ratio of the areas of circles inscribed and circumscribed in a square?

Let the side of the square inscribed in a square be a units. Hence, the required ratio is 2 : 1.

How do you find the shaded area of a circle in a circle?

To get the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.

What is the area of a circle inscribed in a square of side 10?

For inscribed circle: radius=side of square2⇒r1=102=5cm. We know that, area of the circle is given by πr2. So, the area of the inscribed circle is πr12=π×52=25πcm2.

What is the ratio of circles to square?

So the area of the circle is πr2=10×2π. So the ratio of the area of the circle to the area of the square is 10×2π:36×2, which is equivalent to 5π:18, as required.

What is the ratio area of a circle?

In geometry, the area enclosed by a circle of radius r is πr2. Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.1416.

How do you find the circumscribed radius of a square?

Circumscribed circle of a square is made through the four vertices of a square. The radius of a circumcircle of a square is equal to the radius of a square. Formula used to calculate the area of circumscribed square is: 2 * r 2 where, r is the radius of the circle in which a square is circumscribed by circle. How does this formula work?

What are the properties of circumscribed circle?

Properties of Circumscribed circle are as follows: 1 The center of the circumcircle is the point where the two diagonals of a square meet. 2 Circumscribed circle of a square is made through the four vertices of a square. 3 The radius of a circumcircle of a square is equal to the radius of a square. More

How do you find the area of a circle?

The diagonal of the square is 3 inches. We know from the Pythagorean Theorem that the diagonal of a square is 2 times the length of a side. Therefore: Find the area of the circle. First, find the diagonal of the square. Its length is 2 times the length of the side, or 5 2 cm. This value is also the diameter of the circle.

How to find the area of the shaded region of a circle?

A circle is inscribed in a square, with a side measuring 10 units. Find the area of the shaded region: The key to solving these type of problems is to find the areas of the regular shapes. Then, express the shaded area as the difference between them. In this case, we can easily find the area of the circle and the square.