Table of Contents
How do you find the area of a circle with a square inscribed in it?
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 the shaded sector of the circle?
Answer: The area of the shaded sector of the circle is A = (θ / 2) × r2 where θ is in radians or (θ / 360) × πr2 where θ is in degrees.
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.
When a square is inscribed in a circle what are its properties?
When a square is inscribed in a circle, we can derive formulas for all its properties- length of sides, perimeter, area and length of diagonals, using just the circle’s radius. Conversely, we can find the circle’s radius, diameter, circumference and area using just the square’s side. A square is inscribed in a circle with radius ‘r’.
What is the area of the inscribe 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 = π r 2 . Substitute r = 4 in the formula. A = π ( 4 ) 2 = 16 π ≈ 50.24. Therefore, the area of the inscribe circle is about 50.24 square units.
How do you find the radius of an inscribed circle?
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 = π r 2 . Substitute r = 4 in the formula.
How to find the diameter of a circle 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.