Question

the radius of the circle is 6cm. find the lentgh of its 45 degrees arc and area of the same degrees sector.

Answer 1

you can use the formula of :
length of arc =thetha /360*pie r square

Answer 2

$hi$
here.....

Radius = 6cm.

$central \: angle \: = {45}^{0}$

$we \: know \: that$
$length \: of \: an \:a rc$
$= \frac{central \: angle}{360} \times 2\pi r$

$= \frac{45}{360} \times 2 \times 3.14 \times 6$

$= \frac{1}{8} \times 3.14 \times 12$

$= \frac{1}{8} \times 37.68$

$= 4.71cm$
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length of an arc = 4.71cm.
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Area of sector = 1/2 × r × l
= 1/2 × 6 × 4.71
= 3 × 4.71
= 14.13 sq. cm.
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Area of sector = 14.13 sq. cm
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$hope \: this \: helps$