How do you find the area of a square inscribed in a circle?
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.
What is the area of a square inscribed in a circle having a diameter of 4 cm?
Required area = 2r2=2×42 =32 sq. cm. = 12×82=642 = 32 sq.
What is a square inscribed in a circle?
A square that fits snugly inside a circle is inscribed in the circle. The square’s corners will touch, but not intersect, the circle’s boundary, and the square’s diagonal will equal the circle’s diameter.
What is the area of the inscribed square?
Because the area of the square is one of its sides multiplied by itself, the area equals the square of the circle’s radius times 2. Because the radius of the circle is a known quantity, this provides the numerical value for the area of the inscribed square.
What is the area of inscribed 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 . Substitute r=4 in the formula.
What is the area of square inscribed in circle having diameter P CM?
the area of the square inscribed in circle of diameter p is p²/2.
Why can a square be inscribed in a circle?
A square that fits snugly inside a circle is inscribed in the circle. The square’s corners will touch, but not intersect, the circle’s boundary, and the square’s diagonal will equal the circle’s diameter. Also, as is true of any square’s diagonal, it will equal the hypotenuse of a 45°-45°-90° triangle.
Can a square always be inscribed in a circle?
Another way to think of this is that every square has a circumcircle – a circle that passes through every vertex. In fact every regular polygon has a circumcircle, and so can be inscribed in that circle.
What is the area of a square inscribed in a circle of diameter 11 cm?
Area of square= 60.5cm².