Mathematics
The adjacent sides of a rectangle are 20 cm and 24 cm. If its perimeter is equal to the circumference of a circle, the radius of the circle is :
14 cm
21 cm
28 cm
7 cm
Area Trapezium Polygon
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Answer
Given:
The adjacent sides of a rectangle are 20 cm and 24 cm.
The perimeter of rectangle = The circumference of a circle
Let r be the radius of the circle.
As we know, the perimeter of the rectangle = 2(length + breadth)
And, the circumference of the circle = 2πr
⇒ 2(20 + 24) = 2 x x r
⇒ 2 x 44 = x r
⇒ 88 = x r
⇒ r =
⇒ r =
⇒ r = 14 cm
Hence, option 1 is the correct option.
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Statement 1: ABCD is a parallelogram, base AB = 12 cm, perpendicular dropped from D to AB is 9 cm, area of parallelogram ABCD = 54 cm2.
Statement 2: The area of parallelogram = Base x Height.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : The diagonal of a rectangle is 17 m and its breadth is 8 m. Half of the area of rectangle is 120 m2.
Reason (R) : The diagonal of every rectangle, divide into two congruent right-triangles.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.