Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 8 not yet answered marked out of 1.0 flag question what is the…

Question

question 8
not yet answered
marked out of 1.0
flag question
what is the area of a circle that has a radius of 2 cm. use π = 3.14 and round to the nearest cm²?
select one:
a. the area of the circle is 20 cm²?
b. the area of the circle is 50 cm²?
c. the area of the circle is 6 cm²?
d. the area of the circle is 25 cm²?
e. the area of the circle is 13 cm²?
question 9
not yet answered
marked out of 1.0
flag question
a circle has an area of 1256 square meters. the radius of the circle is
select one:
a. 5 cm
b. 10 cm
c. 20 cm
d. 40 cm
question 10
not yet answered
marked out of 1.0
flag question
what is the area of a circle that has a radius of 22 cm. use π= 3.14 and round to the nearest cm²?
select one:
a. the area of the circle is 69 cm²?
b. the area of the circle is 138 cm²?
c. the area of the circle is 6079 cm²?
d. the area of the circle is 1520 cm²?

Explanation:

Response

Question 8

Step1: Recall area formula

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

Step2: Substitute given values

$r=2$ cm, $\pi=3.14$.
$A = 3.14 \times 2^2$

Step3: Calculate the result

$A = 3.14 \times 4 = 12.56 \approx 13$ cm²

Step1: Recall area formula

$A = \pi r^2$, solve for $r$: $r = \sqrt{\frac{A}{\pi}}$

Step2: Substitute given values

$A=1256$ m², $\pi=3.14$.
$r = \sqrt{\frac{1256}{3.14}}$

Step3: Calculate the result

$\frac{1256}{3.14}=400$, $\sqrt{400}=20$ m

Step1: Recall area formula

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

Step2: Substitute given values

$r=22$ cm, $\pi=3.14$.
$A = 3.14 \times 22^2$

Step3: Calculate the result

$22^2=484$, $A = 3.14 \times 484 = 1519.76 \approx 1520$ cm²

Answer:

e. The area of the circle is 13 cm²

---

Question 9