Question

the area of circle is 225 pay sq cm find the length of its arc subtending an angle of 120 degree at the centre and also find the area of the corresponding sector​

Answer 1

Answer:

Area of the circle=πr 2 =225π

r2=225 π, r =v225=15cm

Length of arc=X x2πr/360

= 120x2x3.14x15/360=31.4cm

Area of Sector = Xxπxr2/360

= 120x3.14x15^2/360 =235.5cm2

Answer 2

Area and length of an arc are 75 sq. cm and 17.80 cm.

Step-by-step explanation:

Since we have given that

Area of circle = 225 sq. cm

so, it becomes,

$\pi r^2=225\\\dfrac{22}{7}r^2=225\\\\r^2=\dfrac{225\times 7}{22}\\\\r^2=71.60\\\\r=8.5$

Degree = 120°

So, Length of arc would be

$\dfrac{120}{360}\times 2\pi r\\\\=\dfrac{1}{3}\times 2\times \dfrac{22}{7}\times 8.5\\\\=17.80\ cm$

So, Area of sector would be

$\dfrac{120}{360}\times \pi r^2\\\\=\dfrac{1}{3}\times 225\\\\=75\ cm^2$

Hence, area and length of an arc are 75 sq. cm and 17.80 cm.

# learn more:

The area of a circle is 25pi sq cm find the length of its arc subtending an angle of 144degree at the centre. Also find the area of the corresponding sector ​

https://brainly.in/question/12472401