Question

find the area of sector of a circle whose radius is 6 cm and length of corresponding arc is 12 cm.

Answer 1

u may setup a proportion

Answer 2

\(\large \frac{12}{2\pi\times 6} = \frac{x}{\pi\times 6^2} \)

Answer 3

simplify a bit,
cross multiply and solve \(x\)

Answer 4

x is what?..here?

Answer 5

x is the required area of sector

Answer 6

can we solve this by this formula \[\theta \div 360 * 2\pi r\]

Answer 7

in this i need to find the \[\theta\]...how can i find that..and what is the use of corresponding arc?

Answer 8

you need to use :

\(\theta \div 360 * \pi r^2 \)

Answer 9

Area of sector = \(\large \frac{\theta}{ 360 } \pi r^2\)

Answer 10

yup

Answer 11

or in radians it wud be :-

Area of sector \(\large \frac{1}{ 2} r^2\theta\)

Answer 12

you can find \(\theta \) in radians by using below :-

\(\theta = arclength / radius\)

Answer 13

since we're given,
arc length = 12
radius = 6,

u can find \(\theta\)

Answer 14

\(\theta = 12/6 = 2\) radians

Answer 15

so, the area wud be :-

Area of sector = \(\large \frac{1}{ 2} r^2\theta = \frac{1}{ 2} 6^2\times 2 \)

Answer 16

simplify

Answer 17

is there ny need to cnvrt radian into degree?

Answer 18

no there is no need to convert radians to degree here

Answer 19

as ganeshie pointed out - find the circumference and area of the whole circle first
and then using proportion find out how much area will the 12 cm arc sector make

Answer 20

three water sprinklers are placed at A, E and D on the rectangular field ABCD, Ebeing the mid-point of AD. Each can throw water in a circular region upto a radius of 4.2m. if the lenth and bredth of the field is 40m and 26m respectively, how much area of field is watered by them?

Answer 21

hey please close this question and post a new question.. .
that way ur question shows up in new questions and others get to see :)

Answer 22

first "Close the Question"

Answer 23

do u see "Close Question" in green

Answer 24

right below ur question posted area,

Answer 25

scroll up... all the way up...