How do you find the area of a square inscribed in a circle given the radius?

We've already seen how to find the length of a square's diagonal from its side: it is a ·√2. The radius is half the diameter, so r=a·√2/2 or r=a/√2. The circumference is 2·r·π, so it is a·√2·π. And the area is π·r², so it is π·a²/2.

How do you find the area of a circle with a square inscribed inside?

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 . Substitute r=4 in the formula.

What is the area of a square inscribed in a circle with radius 1?

Area of a square is given by : A=12d2 , where d is the length of the diagonal of the square.

What is the area of a square inscribed in a circle with radius r?

So the area of the square =2r2.

What is the area of a square inscribed in a circle with radius 8?

Area of square =(82 )2=128cm2.

Square Inscribed in a Circle

What is the area of a square as a function of the radius?

That's the Area of the circle as a function of the length of a side of the square. The area of the square is s² which is equal to (πr / 2)² = π²r² / 4. That's the Area of the square as a function of the radius of the circle.

When a square is inscribed in a circle?

We know that the diagonal of a square inscribed in a circle is equal to the diameter of the circle. The diagram of the square inscribed in the circle is given as below: We know that if \[D\] is the length of the diameter of a square then the length of its side is given by \[\dfrac{D}{{\sqrt 2 }}\].

What is the area of the circle that can be inscribed in a square of side 6 cm?

d. 9π cm² We have to find the area of the circle that can be inscribed in the square. Therefore, the area of the circle is 9π square cm.

What is the ratio of the area of a square inscribed in a circle to the area of the square circumscribing the circle?

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

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

Solution. The area (in cm²) of the circle that can be inscribed in a square of side 8 cm is ̲ .

What is the area of a square inscribed in a circle with radius 16?

A circle is inside a square. The area of the square is 36cm^2.

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

Therefore, The area of a square inscribed in a circle of radius 10cm is equal to 200 sq. cm.

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

The area of circle is =πr2=π×42=16πcm2.

What is the area of the circle that can be inscribed in a square of side 8 cm a 32 cm2 P B 16 cm2 P C 21 cm2 P D 42 cm2 P?

(D) 9 π cm.

What is the area of the circle that can be inscribed in a square of side 8 cm 32π sq cm 16π sq cm 21π sq cm 42π sq cm?

Therefore, the area of the square inscribed in the circle is 128 square cm.

How do you find the perimeter of a square with a radius?

In this case, the perimeter of the square P = 4√2r. The perimeter of any square inscribed in a circle with radius r is defined as P = 5.657r!

What is the ratio of the area of a circle to the area of a square?

So the area of the circle is πr2=10x2π. So the ratio of the area of the circle to the area of the square is 10x2π:36x2, which is equivalent to 5π:18, as required.

What is the ratio of the area of a circle to the square of its radius?

AreaofsquareAreaofcircle=rπr=π:1. Was this answer helpful?

What is the ratio of the area enclosed by the sector and the circle is?

The ratio of the sector area to the area of the entire circle is 1: 5.

What is the area of the given sector of a circle?

The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.