Question

please explain it step by step to get the brainliest answer!!!​

Answer 1

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

r = 6m.

${ \theta = 90 \degree}$

$\huge{\bold{\underline{Explanation:-}}}$

As we need to find the distance covered by the body we can use the formula of perimeter of an arc.

Which is ,

$\large{\bold{ S = \frac{ \theta}{360} \times 2 \pi r}}$

Here "S" is the distance covered by the particle.

Substituting the values.

$\large{ \implies S = \frac{90}{360} \times 2 \pi \times 6}$

$\large{ \implies S = \frac{1}{4} \times 2 \pi \times 6}$

$\large{ \implies S = \frac{1}{ \cancel{4}} \times \cancel{2} \pi \times 6}$

$\large{ \implies S = \frac{1}{ \cancel{2}} \times \pi \times \cancel{6}}$

$\large{\bold{ \implies S = 3 \pi \: meter}}$

$\huge{\boxed{\boxed{S = 3 \pi \: meter}}}$

So, the distance covered is 3π meter (option---(A)).

Answer 2

$\huge{\underline{\underline{\mathfrak{Answer \colon}}}}$

From the Question,

• Radius of the Circle,r = 6m

• Angle subtended at the centre of the circle,∅ = 90°

To find:

The distance covered by the object

Here,

The distance covered by the object is equal to the length of the arc which makes 90° with the centre of the circle

Let "l" be the distance covered by the object

We Know that,

Arc Length is given by:

$\boxed{\boxed{\sf{l = \frac{ \theta}{360}.2\pi \: r }}}$

Putting the values,we get:

$\sf{l = \frac{90}{360} \times 2\pi \times 6} \\ \\ \implies \: \sf{l = \frac{12 \pi}{4} } \\ \\ \implies \: \huge{ \sf{l = 3\pi \ m}}$

• Option(A) is correct