Answer:
A = 226.87 square cm
Explanation:
We know that the circumference is given by the formula
C = πd, where
- C is the circumference,
- and d is the diameter of the circle
Step 1: First, we must find the diameter of the circle by plugging in 53.38 for C and 3.14 for π and simplifying:
53.38 = 3.14d
17 = d
Thus, the diameter of the circle is 17 cm
Step 2: We know that the diameter is simply twice the radius, r. Thus, we can find the radius by dividing the diameter by 2:
d = 2r
d/2 = r
17/2 = r
8.5 = r
Thus, the radius of the circle is 8.5 cm.
Step 3: The formula for area of a circle is given by the formula
A = πr^2, where
- A is the area in square units,
- and r is the radius.
Thus, we can plug in 8.5 for r and 3.14 for π to find the area of the circle:
A = 3.14(8.5)^2
A = 3.14(72.25)
A =226.865
Thus, the area is 226.865 square cm. You can use the exact answer, the answer rounded to the nearest hundredth (A = 226.87 square cm), or the answer rounded to the nearest tenth (A = 226.9 cm)