Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

A wire of length 30 m is cut into two pieces. One of the pieces is folded into a square and the other into a circle. If 'x' m is the length of one of the pieces, the combined area of the square and the circle is given by:

Options:

$\frac{x^2}{4 \pi}+\frac{1}{4}(30-x)^2$

$\frac{x^2}{4 \pi}+\frac{1}{16}(30-x)^2$

$\frac{(30-x)^2}{4 \pi}+\frac{x^2}{8}$

$\frac{(30-x)^2}{16 \pi}+\frac{x^2}{4}$

Correct Answer:

$\frac{x^2}{4 \pi}+\frac{1}{16}(30-x)^2$

Explanation:

The correct answer is Option (2) → $\frac{x^2}{4 \pi}+\frac{1}{16}(30-x)^2$