Fibonacci sequence is a pattern in which each number is obtained by adding the previous two numbers (except the first 2 numbers).

The pattern is 0, 1, 1, 2, 3, 5, 8, 13...

Shown below is a representation of the first few terms of the Fibonacci sequence in a unit square grid. The terms represent the side lengths of the squares.

What is the area of the shaded sector?

(A) 4π sq units  

(B) 16π sq units 

(C) 48π sq units    

(D) 64π sq units

 

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Fibonacci sequence is a pattern in which each number is obtained by adding the previous two numbers (except the first 2 numbers). The pattern is 0, 1, 1, 2, 3, 5, 8, 13... Shown below is a representation of the first few terms of the Fibonacci sequence in a unit square grid. The terms represent the side lengths of the squares. What is the area of the shaded sector? (A) 4π sq units (B) 16π sq units (C) 48π sq units (D) 64π sq units

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.