Savita has a lamp placed at the centre of her square yard, each side measuring 20 m. Thelight of lamp covers a circle of radius 10 m on yard. What area of the yard is NOT lit by thelamp?A. 400π sq. mB. 100π sq. mC. (40 - 10π) sq. mD. (400 - 100π) sq. m2. In the Δ ABC shown below, ∠X : ∠Y = 1:2.What is tan x?A. 1√3B. 1C. √32D. √33. Which of the following numbers can be written as a non-terminating but recurring decimal?A. 9B. 438C. √6D. 512
Question
Savita has a lamp placed at the centre of her square yard, each side measuring 20 m. Thelight of lamp covers a circle of radius 10 m on yard. What area of the yard is NOT lit by thelamp?A. 400π sq. mB. 100π sq. mC. (40 - 10π) sq. mD. (400 - 100π) sq. m2. In the Δ ABC shown below, ∠X : ∠Y = 1:2.What is tan x?A. 1√3B. 1C. √32D. √33. Which of the following numbers can be written as a non-terminating but recurring decimal?A. 9B. 438C. √6D. 512
Solution
Sure, I can do that. Here are the answers to your questions:
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The area of the square yard is 20m * 20m = 400 sq. m. The area of the circle lit by the lamp is π * (10m)^2 = 100π sq. m. The area of the yard not lit by the lamp is the total area of the yard minus the area lit by the lamp, which is 400 sq. m - 100π sq. m = (400 - 100π) sq. m. So, the answer is D. (400 - 100π) sq. m.
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If ∠X : ∠Y = 1:2, then ∠X is 1/3 of the total angle and ∠Y is 2/3. In a right triangle, the tangent of an angle is the ratio of the opposite side to the adjacent side. Since we don't know the lengths of the sides, we can't calculate tan x. We need more information to answer this question.
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A non-terminating but recurring decimal is a decimal that goes on forever without ending, but has a pattern that repeats. Out of the options given, none of them can be written as a non-terminating but recurring decimal. So, none of the options is correct.
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