# How do you find the perimeter of a rectangle inscribed in a circle?

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## How do you find the perimeter of a rectangle inscribed in a circle?

- If the circle has radius r, then the limit on one end is that the width of the rectangle is just over zero and the length is just under 2r, so the limit of the perimeter is 4r.
- 4 * r * sqrt( 2) = r * sqrt( 32) ~= 5.65685424949238 * r.
- so the perimeter of a rectangle inscribed in a circle is p where.

## How do you find the perimeter of an inscribed circle?

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

- For a square with side length s , the following formulas are used.
- Perimeter = 4s.
- Area = s2.
- Diagonal = s√2.
- For a circle with radius r , the following formulas are used.
- Circumference = 2πr.
- Area = πr2.

**What does it mean when a rectangle is inscribed in a circle?**

Answered 2 years ago · Author has 392 answers and 1.1M answer views. If the rectangle is inscribed in a circle, this means we can draw one of its diagonals and use that as the diameter of the circle. Since we already know the dimensions of the rectangle, we know by using Pythagorean triples that the diameter must be 10 …

**Can a rectangle be inscribed in a circle?**

Actually – every rectangle can be inscribed in a (unique circle) so the key point is that the radius of the circle is R (I think). One of the properties of a rectangle is that the diagonals bisect in the ‘center’ of the rectangle, which will also be the center of the circumscribing circle.

### How do you find the radius of a circle with a rectangle inscribed?

The rectangle with sides 3 and 4 is inscribed in a circle. The four corners of the rectangle touch the circle. The diagonals of the rectangle are diameters of the circle. The circumference of a circle with radius r is given as 2*pi*r or pi*d where d is the diameter.

### Can you inscribe a rectangle in a circle?

**How do you find the radius of a rectangle inscribed in a circle?**

Unlock The rectangle with sides 3 and 4 is inscribed in a circle. The four corners of the rectangle touch the circle. The diagonals of the rectangle are diameters of the circle. The circumference of a circle with radius r is given as 2*pi*r or pi*d where d is the diameter.

**Which of the following is the maximum area of the rectangle that can be inscribed in a semicircle of radius?**

25 square units

The area of the largest rectangle that can be inscribed in a semi-circle of radius 5 is 25 square units.

#### What is the area of a circle inscribed in a rectangle?

The biggest circle that can be inscribed must have diameter equal to smallest dimension of rectangle. Hence, diameter of the circle = 6 cm. Area of circle = πr^2 = 28.26 sq. cm.