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question 1
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what is the area of a circle that has a radius of 8 cm. use \\(\pi = 3.14\\) and round to the nearest \\(\text{cm}^2\\).
select one:
a. the area of the circle is 804 \\(\text{cm}^2\\).
b. the area of the circle is 201 \\(\text{cm}^2\\).
c. the area of the circle is 50 \\(\text{cm}^2\\).
d. the area of the circle is 79 \\(\text{cm}^2\\).
e. the area of the circle is 25 \\(\text{cm}^2\\).

question 2
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what is the area of a circle that has a radius of 40 cm. use \\(\pi = 3.14\\) and round to the nearest \\(\text{cm}^2\\).
select one:
a. the area of the circle is 5024 \\(\text{cm}^2\\).
b. the area of the circle is 394 \\(\text{cm}^2\\).
c. the area of the circle is 251 \\(\text{cm}^2\\).
d. the area of the circle is 20096 \\(\text{cm}^2\\).
e. the area of the circle is 126 \\(\text{cm}^2\\).

question 3
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wilma measured the radius of a circle and (correctly) got a length of 44 cm.
if pebbles used this information to determine the area of a circle, she will get an area of ?

Explanation:

Question 1 Step1: Recall circle area formula

The area of a circle is $A = \pi r^2$, where $r=8$ cm, $\pi=3.14$.

Question 1 Step2: Calculate the area

$A = 3.14 \times 8^2 = 3.14 \times 64 = 200.96$

Question 1 Step3: Round to nearest whole number

$200.96 \approx 201$

Question 2 Step1: Recall circle area formula

The area of a circle is $A = \pi r^2$, where $r=40$ cm, $\pi=3.14$.

Question 2 Step2: Calculate the area

$A = 3.14 \times 40^2 = 3.14 \times 1600 = 5024$

Question 3 Step1: Find radius from circumference

Circumference $C=2\pi r$, so $r = \frac{C}{2\pi} = \frac{44}{2\times3.14} \approx 7.006$ cm

Question 3 Step2: Calculate circle area

$A = \pi r^2 = 3.14 \times (7.006)^2 \approx 3.14 \times 49.08 = 154.11$

Answer:

1. b. The area of the circle is 201 cm².
2. a. The area of the circle is 5024 cm².
3. $\approx 154$ cm²