Question

find the radius of a circle if a 90 degree arc has a lenght of 3.5cm hence find the area of the sector formed bt this arc

Answer 1

angle=90
length of arc=3.5cm
radius of circle=?
$length \: of \: arc = \frac{\pi \: r \: \infty }{180}$
$3.5= \frac{22 \times r \times 90}{180}$
$3.5 = \frac{1980r}{180}$
$3.5 \times 180 = 1980r$
$630 = 1980r$
$r = 0.21$
$area \: of \: sector = area \: of \: quadrant( \infty = 90)$
$area \: of \: sector = \frac{1}{4} \times \pi {r}^{2}$

$= \frac{1}{4} \times \frac{22}{7} \times0.21 \times 0.21$
$= \frac{11 \times 0.3 \times 0.21}{2}$
$= \frac{693}{2000}$
$= 0.3465$
Hence radius of circle is 0.21cm. and area of sector is 0.3465cm. sq.

Answer 2

Answer:

I dont Know The Answer.

Step-by-step explanation:

No Step By Step Explanation.