The radius of circle is half the side of the equilateral triangle whose perimeter is $48$ cm. What is the length of circumference of circle ? ( $π = 3.14$ )

50.24

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25.12

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51

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43

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Solution

The correct option is A $50.24$ cm
As, equilateral triangle has all its sides equal. let side of triangle be $x$ .
So,
$x + x + x = 48$
$3 x = 48$
$x = \frac{48}{3}$
$x = 16$ cm

So, radius of circle= $\frac{16}{2}$
$r = 8$ cm
$circumference = 2 π r$
$circumference = 2 \times 3.14 \times 8$
$circumference = 50.24$ cm.

Hence, option $(a)$ correct.

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The radius of circle is half the side of the equilateral triangle whose perimeter is 48 cm. What is the length of circumference of circle ? (π=3.14)

The correct option is A 50.24 cmAs, equilateral triangle has all its sides equal. let side of triangle be x . So, x+x+x=48 3x=48 x=483 x=16 cm So, radius of circle=162 r=8 cm circumference=2πr circumference=2×3.14×8 circumference=50.24 cm. Hence, option (a) correct.

The radius of circle is half the side of the equilateral triangle whose perimeter is $48$ cm. What is the length of circumference of circle ? ( $π = 3.14$ )