If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will bea)C/2b)C/4+rc)C/4d)C/4+2rCorrect answer is option 'D'. Can you explain this answer?

Question

If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will be&#8203;a)C/2b)C/4+rc)C/4d)C/4+2rCorrect answer is option 'D'. Can you explain this answer?

Answer

Circumference = 2Πr
radius = r
Perimeter of quadrant = 2r + 2Πr/4
= 2r + C/4
= C/4 + 2r
Therefore, Correct answer is option 'D'.

Answer

Circumference = C = 2Πr
radius = r
Perimeter of quadrant = 2r + 2Πr/4
= 2r + C/4
= C/4 + 2r
Therefore, Correct answer is option 'D'.

Answer

See its given in question that C is the circumference of the circle and then its also given that it is divided into 4parts so itsC/4 but perimeter refers to overall boundary which includes tose 2 radii hence +2r is also done therefore the perimeter= C/4+2r

HOPE YOU HAVE UNDERSTOOD DEAR

Answer

Explanation:

To understand why the correct answer is option D, let's break down the problem step by step.

1. Calculation of the circumference:
The circumference (C) of a circle is calculated using the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. The circumference represents the total distance around the circle.

2. Definition of a quadrant:
A quadrant is one-fourth of a circle. It is obtained by dividing the circle into four equal parts by drawing two perpendicular lines through its center. Each quadrant has a curved boundary, which is one-fourth of the circumference of the circle.

3. Finding the perimeter of a quadrant:
The perimeter of a shape refers to the total distance around its boundary. In the case of a quadrant, the perimeter is the sum of the two straight sides and the curved boundary. Since the curved boundary of a quadrant is one-fourth of the circumference of the entire circle, we need to find the perimeter of one-fourth of the circumference.

4. Calculation of the perimeter of a quadrant:
The curved boundary of a quadrant is equal to one-fourth of the circumference of the circle. Therefore, the length of the curved boundary of a quadrant is C/4.

The two straight sides of the quadrant are equal to the radius (r) of the circle, as they extend from the center of the circle to the curved boundary.

Therefore, the perimeter of a quadrant is equal to the sum of the curved boundary (C/4) and the two straight sides (2r), which can be written as C/4 + 2r.

Conclusion:
Based on the above calculations, the correct answer is option D, C/4 + 2r, as it represents the perimeter of one of the quadrants of the circle.

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