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
You add the area of the square with the area of the semi circle.
112cm2
usually: 1/2 b x h
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.
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
You add the area of the square with the area of the semi circle.
112cm2
usually: 1/2 b x h