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Find the areas of the sectors formed by ZACB.
D
A
2 ft
81°
C
B
Give the exact answers in terms of π. Do not approximate the answers.
Area of small sector =
ft2
Area of large sector =
ft²

Find the areas of the sectors formed by ZACB D A 2 ft 81 C B Give the exact answers in terms of π Do not approximate the answers Area of small sector ft2 Area o class=


Answer :

Answer:

Step 1: Find the area of the entire circle.

The formula for the area of a circle is given by , where  is the radius of the circle.

Given that the length of AC is 2ft, we can find the radius of the circle using the formula .

Now, we can find the area of the entire circle:

square feet.

Answer: Area of the entire circle  square feet.

Step 2: Find the area of the sector .

The formula for the area of a sector of a circle is given by , where  is the central angle in degrees and  is the radius of the circle.

Given that the central angle  measures 81°, and the radius  is 1, we can find the area of the sector:

Answer: Area of the sector LACB= 9/40pie  square feet.

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