# What circle is inscribed in a square?

## What circle is inscribed in a square?

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square. You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

## What is the area of largest square that is inscribed in a semicircle?

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 the largest square that can be inscribed in a semi-circle of radius r units?

21r2 sq.

### What is semicircle formula?

The formula for the circumference of a semicircle is, C = (πr + 2r), where ‘r’ is the radius. As we know that diameter is twice the value of the radius, thus, d = 2r. The formula for the circumference of a semicircle becomes, C = π(d/2) + d.

### What is the ratio of the area of a square inscribed in a semicircle of radius r to the area of square inscribed in a circle of radius r?

Therefore option (c) 2 : 5, is correct choice.

What is the area of circle that can be inscribed in a square of side 10 cm?

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 area of square and semi circle?

The problem states that the diameter of the circle is the same as the side length of the square, 8 inches. The area for a full circle is 50.24 square inches. Then, remember that you have a semi-circle and divide this area by 2. The area of the semi-circle is 25.12 square inches.

#### What is the area of the circle that can be inscribed in a square of side 8 cm?

Area of square =(side)2=128 cm2.

What is semicircular arc?

In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180° (equivalently, π radians, or a half-turn). It has only one line of symmetry (reflection symmetry).

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