Area of circle: 18pi
Radius of circle: square root of 18 = 3 Times Square root of 2
Using Pythagoras' theorem each side of the square is 6 units in length
If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming
usually: 1/2 b x h
112cm2
You add the area of the square with the area of the semi circle.
If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)
Half the square root of the square radius equals the circle radius.
1
The largest rectangle would be a square. If the circle has radius a, the diameter is 2a. This diameter would also be the diameter of a square of side length b. Using the Pythagorean theorem, b2 + b2 = (2a)2. 2b2 = 4a2 b2 = 2a2 b = √(2a2) or a√2 = the length of the sides of the square The area of a square of side length b is therefore (√(2a2))2 = 2a2 which is the largest area for a rectangle inscribed in a circle of radius a.
To find the area of a circle inscribed in a square, you can use the formula for the area of a circle (πr^2) and the properties of a square (all sides equal). Since the diameter of the circle is equal to a side of the square, you can find the radius of the circle by halving the side length of the square. Then, plug the radius value into the area of a circle formula to find the area.
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming
I'm going to assume you mean that a square with area 100 units2 is inscribed in the circle.The area of the square is 100 units2, so the side of the square is 10 units long. The distance from the center of the square (also the center of the circle) to the midpoints of each side of the square is 5 units. Using the Pythagorean theorem, we find that the distance from the center to a vertex of the square is 5*sqrt(2) units.Since the vertices of the square lie on the circle, this is also the radius of the circle. The area of the circle is pi times the radius squared, or pi * 5*sqrt(2) * 5*sqrt(2) = 50*pi.
You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square
The answer in 6.... draw an angular bisector from one of the angles to the centre of circle then draw a perpendicular from the centre of circle. Those to lines will form a triangle... use trigonometry and find the length of the perpendicular, which is also a radius... double the radius and u will get the diagonal for the square... using formula :- (Side)^2 + (Side)^2 = (Diagonal)^2, find the side of square and square the answer, which will give you your final answer
all you do is find the area of the circle... if you mean find the squares area, find the area of the circle, and then the square's area and subtract the squares area to the circles area
To find the area of a circle outside a square, first calculate the area of the circle using the formula ( A_{circle} = \pi r^2 ), where ( r ) is the radius of the circle. Next, find the area of the square using ( A_{square} = s^2 ), where ( s ) is the side length of the square. Finally, subtract the area of the square from the area of the circle: ( A_{outside} = A_{circle} - A_{square} ). If the circle is completely outside the square, the area outside is simply the area of the circle.
usually: 1/2 b x h