Question

Find the area of the sector below. Round your answer to two decimal places Please help <33

Answer 1

can you find the central angle, first ?

Answer 2

not exactly sure how to find it :/

Answer 3

see the diagram known that the reflex angle is 300, so just subtracts 300 from 360 to get the central angle

Answer 4

so 60 would be the central angle

Answer 5

yes, that's right
then use this formula :
sector = central angle/360 * circle area

Answer 6

so,
sector = 60/360 * pi * r^2
with r = radius (its given r = 13)

Answer 7

i got .1666666 repeating.. how can I find the circle of the area when i don't know the bottom value?

Answer 8

area of the circle**

Answer 9

sector = 60/360 * pi * r^2
= 1/6 * (3.14) * (13) * 13 = ... ?

Answer 10

88.44

Answer 11

correct!

Answer 12

so that means that the answer for the bottom question mark would be 88.44?

Answer 13

the shaded area is sector area. we done solve it but
looks the diagram asked us about length of arc BC, too right ?

Answer 14

I believe we have to

Answer 15

therefor, use this formula
arc BC = central angle/360 * circumference of cirlce

so,
arc BC = 60/360 * 2 pi r

Answer 16

1.04666?

Answer 17

arc BC = 60/360 * 2 pi r
arc BC = 1/6 * 2 * (3.14) * 13 = ....

Answer 18

13.606

Answer 19

you got it!

Answer 20

:) so the area would be 13.606

Answer 21

there are 2 questions here, find the sector area and length arc.
they are 88.44 and 13.606 respectively

Answer 22

that's makes a lot of sense.. thank you so much for your time you have been very helpful! :D

Answer 23

you're welcome :*