(25 points to correct answer)
find the area of sector ghj given that θ=65°. use 3.14 for π and round to the nearest tenth. show your work and do not forget to include units in your final answer.

The area of a sector GHJ is

Step-by-step explanation:

step 1

we know that

The area of a circle is equal to

we have

substitute

step 2

Remember that the area of a complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 65 degrees

Use

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x