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In the figure below, a square is inscribed in a circle with diameter d. What is the sum of the areas of the shaded regions in terms of d?

In the figure below, a square is inscribed in a circle with diameter d. What is the sum of the areas of the shaded regions in terms of d? Correct Answer d2(π4-12)

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Related Questions

Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown. What is the ratio of the areas of unshaded regions of case M to that of case N?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
ABCD and PQRS are two squares AB = PQ = 14 cm. There is a circle inscribed in the square ABCD and P, Q, R and S are four quadrants. What is the ratio of shaded region of square ABCD to the shaded region of square PQRS.
A = Area of the largest circle drawn inside a square of side 1 cm. B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm. C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm. D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm. Which of the following is TRUE about A, B, C and D?
A small square region inside a larger square is shaded. The diagonal of the larger square is three times the diagonal of the small square in length. What fraction of the area of the larger square is not shaded?
Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.
A circle is inscribed in a square. Then the area which is outside the circle but inside the square is what percent of the area of the inscribed circle.
A circle of maximum area is inscribed in the square. An equilateral triangle is inscribed in that circle and all the vertices of the triangle touch the circle. A triangle is formed by the joining of the midpoint of the sides of the equilateral triangle. Find the ratio of the area of the square and area of the triangle which is formed by midpoints.
In the given figure, AB is the diameter of smaller circle and O which is the center of largest circle lies on the smaller circle. If the diameter of the larger circle is 4 units, what is the area of the shaded region ? 
There are 6 concentric circles that are spaced equally from each other by 1.6 cm. The innermost circle has a square of side √72 cm inscribed in it. If a square needs to be inscribed in the outermost circle, what will be square area?