Bissoy.com
Doctors Medicines MCQs Q&A

A circle is cut from a rectangular sheet of breadth 16 cm. The diameter of circle is equal to 1/4th of the Length of the rectangle. The area of a square of side 16 cm is 2/3rd of the area of rectangle.The area of circle cut from rectangle is approximately what percent of area of rectangle?

A circle is cut from a rectangular sheet of breadth 16 cm. The diameter of circle is equal to 1/4th of the Length of the rectangle. The area of a square of side 16 cm is 2/3rd of the area of rectangle.The area of circle cut from rectangle is approximately what percent of area of rectangle? Correct Answer 7.4%

Given,

Area of square = (side)2

Area of square = 16 × 16 = 256 sq.cm

Area of rectangle = 256 × 3/2 = 384 sq.cm

Given,

Area of rectangle = Length × breadth

Length of rectangle = 384/16 = 24 cm

Diameter of a circle = 24/4 = 6 cm

Radius of a circle = 6/2 = 3 cm

Area of circle = 22/7 × 3 × 3

= 28.28 sq.cm

Required percentage =

= (28.28/384) × 100

= 7.4%

Related Questions

Which of the following statements is/are true? A: If the ratio of length and breadth of a rectangle is 4 : 3 and the side of a square is equal to length of the rectangle, then the ratio of the areas of square and rectangle will be 4 : 3. B: From each corner of a rectangular sheet, if four squares of equal side are cut, then perimeter of the rectangular sheet will be decreased. C: The diagonals of a parallelogram can never perpendicular to each other.
A right angled triangle was cut from a rectangular sheet of length 20 cm whose perimeter is same as a square of side 30 cm. If height of the triangle is same as breadth of rectangular sheet and base is 1/4th of length of sheet then, the area of the remaining sheet is what percent of area of the whole sheet?
if the length of the cuboid is 1/2 of the perimeter of square and breadth of the cuboid is 1/4 of the perimeter of the square and height of the cuboid is 3/2 of the side of the square if the side of the square is equal to 1/2 of the length of the rectangle if the breadth of the rectangle is 1/4 of the area of the rectangle which is 64cm2 then find the lateral surface area of the cuboid.
The average of length and breadth of the rectangle is 15 cm. The average of breadth and side of a square are 11 cm. The average area of a square and a rectangle is 158 sq.cm. The difference between the breadth of the rectangle and side of a square is 2cm. What is the perimeter of a rectangle?
The selling price of plot is directly proportional to the square of area of plot in m2. If the cost price of square shaped plot is Rs. 50000 and the profit percent of a dealer is 25% on selling square shaped plot then find the cost price of rectangular shaped plot if the dealer gains 50% on selling of rectangular plot where the length and breadth of rectangular plot is 30 m and 20 m while the side length of square plot is 20 m.
The ratio of the radius of a circle and the side of a square is 5 : 2, the Perimeter of a rectangle is 96 cm and the length of the rectangle is equal to the side of the square; the length of the rectangle is 4 cm more than the breadth of the rectangle then what is the area of the circle?
The radius of a cylinder is half of the side of the square, whose perimeter is 6 cm more than the perimeter of a rectangle. If the ratio between the length and breadth of a rectangle is 7: 2 and between the length of the rectangle and the side of the square is 3 : 2. Find the volume of a cylinder. Given the height of the cylinder is equal to the breadth of the rectangle.
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
The area of square is 1521 square meter. The breadth of rectangle is 1/3th of the side of the square and the length of the rectangle is twice the breadth. What is the difference between the area of the square and the area of the rectangle?
The length of each side of square A is increased by 100 percent to make square B. Again the length of each side of square B is increased by 50 percent to make square C. By what percent is the area of square C greater than the sum of the areas of square A and B?