A circle has a sector with area (69/5)π and central angle 138∘. What is the area of the circle? (Give an exact answer. You answer may include pi. Example: 3/2 pi or 3pi/2 or 6pi.)

36π

Step-by-step explanation:

A circle has 360°.

The given section of the circle has 138°, which is 138/360 of the area of the entire circle. Let A be the area of the entire circle.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh