Question

TRIGONOMETRY:
If the central angle theta =10rad, and the area of the sector formed is 25square units, find the AREA of the circle. TRIGONOMETRY:
If the central angle theta =10rad, and the area of the sector formed is 25square units, find the AREA of the circle. @Mathematics

Answer 1

theta =10
theta * radius^2=area of sector
10*radius^2=25
radius^2=2.5
area of circle=pi*r^2
=3.14*2.5
7.85
thers is some mistake is central angle 10 dgrees or radian

Answer 2

reply kyragayle is central angle theta is in radians or degrees

Answer 3

radians

Answer 4

Your problems can be answered using proportions.
For this one, imagine the angle were pi (180º). Then you would know it corresponds to 1/2 the circle.

Answer 5

or, for this problem, the area of the sector is a fraction of the total area.
the fraction is the ratio of the angle to 2pi (using rads)
so
\[ \frac{10}{2\pi}A= 25 \]

Answer 6

make sense?

Answer 7

whats your final answer?

Answer 8

What's yours?

Answer 9

my answer is thousand so i know im wrong

Answer 10

I'll answer, if you try this problem first:
theta= pi rads

area of the sector is 25.
What is the area of the circle

Answer 11

the area of a circle is
\[A= 1/2 r^2\theta\] ryt?

Answer 12

the equation i mean

Answer 13

almost. But use common sense on this one.

Answer 14

im so confused

Answer 15

If my problem is a pizza, and you ate the sector I labelled 25, how much of the pizza did you eat?

Answer 16

25

Answer 17

and how much is left over?

Answer 18

25?

Answer 19

and how big was the pizza?

Answer 20

if im going to add it up, the part of the pizza i ate and the left over its 50 i think

Answer 21

Yes. Now try this:

the sector is 25 (this is a bigger pizza)
how big is the total pizza?