46.9k views
3 votes
If there is anyone that knows this, be very appreciated. Thanks

If there is anyone that knows this, be very appreciated. Thanks-example-1
User Lachlan
by
8.2k points

1 Answer

0 votes

the area of the sector with
\( \theta = (\pi)/(9) \) radians and
\( r = 2 \) is \( (2\pi)/(9) \) square units.

The formula for the area (A) of a sector of a circle is given by:


\[ A = (1)/(2)r^2\theta \]

where:

- r is the radius of the circle,

-
\( \theta \) is the central angle of the sector in radians.

Given r = 2 and
\( \theta = (\pi)/(9) \), substitute these values into the formula:


\[ A = (1)/(2) \cdot (2)^2 \cdot (\pi)/(9) \]

Simplify:


\[ A = (1)/(2) \cdot 4 \cdot (\pi)/(9) \]


\[ A = (2\pi)/(9) \]

So, the area of the sector with
\( \theta = (\pi)/(9) \) radians and r = 2 is
\( (2\pi)/(9) \) square units.

User Gnr
by
7.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories