Question
The perimeter of a sector of a circle, whose radius is
17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and its perimeter is 98 cm, then find the area (in cm2) of the rectangle.Solution
Let the arc subtended by the sector be ‘l’ cm and the radius of the circle be ‘r’ cm According to the question, (l + 2r) = 63 Or, l = 63 – 2r = 63 – (2 × 17) = 29 cm Therefore, length of the rectangle = 29 + 10 = 39 cm Let the breadth of the rectangle be ‘b’ cm Therefore, 2 × (39 + b) = 98 Or, b = 49 – 39 = 10 cm Therefore, area of the rectangle = length × breadth = 10 × 39 = 390 cm2
Select the option that represents the correct order of the given words as they would appear in an English dictionary?
1. Voice
2. Vocalist...
Select the option that will replace the question mark (?) in the figure given below to complete the pattern.
Read the given statements and conclusions carefully, Assuming that the information given in the statements is time, even if it appears to be at variance...
An Assertion (A) and a Reason (R) are given below.
Assertion (A): Clothes are not washed properly in hot water.
Reason (R): Hard water c...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Refer to the given number, symbol series and answer the question that follows.
(Left) 7 + * 7 # & 8 6 5 % 4 $ 6 # @ 4 7 ! 2 5 (Right)
How ...
I was born on 21st December. Monika is older than me by 11 days. That year Christmas was on Monday. Monika was born on-
Martha said to Linda, “Your mother’s father’s only son’s only sister is my father’s wife.”
How is Linda related to Martha?
...K is 40 m south-west of L. M is 40 m south-east of L. Then K is in which direction of M?
From his fishpond, Niyaz went to the fish market. First, he went straight towards the north for 2 km and then turned right. Thereafter, he walked for a ...