Question
The perimeter of a sector of a circle, whose radius is
20 cm, is 60 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and its perimeter is 66 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) = 60 Or, l = 60 – 2r = 60 – (2 × 20) = 20 cm Therefore, length of the rectangle = 20 + 10 = 30 cm Let the breadth of the rectangle be ‘b’ cm Therefore, 2 × (30 + b) = 66 Or, b = 33 – 30 = 3 cm Therefore, area of the rectangle = length × breadth = 3 × 30 = 90 cm2
Adept
1.      Annihilate
2.      Ruin
3.      Sanction
4.      Arrogance
...A government in which all the powers are concentrated on the hands of officers?
Select the most appropriate option to substitute the highlighted segment. If no substitution is required select 'No substitution'.
No sooner did ...
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Select the most appropriate option to substitute the Bold segment in the given sentence. If there is no need to substitute it, select 'No substitution'...
- Choose the option which can be substituted for the given words/sentence.
One who studies the origin and history of words In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
Belonging to middle c...
A claim that you cannot be guilty of a crime because you were somewhere else when the crime was committed
- Select the option that can be used as a one-word substitute for the given group of words.
One who is not easily pleased
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