7. the radius of a circle is 4 inches. what is the circumference of the circle? (use π = 3.14.)
8. fencing you are putting a fence around a rectangular garden with length 15 feet and width 8 feet. what is the length of the fence that you will need?
practice and applications
finding perimeter, circumference, and area find the perimeter (or circumference) and area of the figure. (where necessary, use π = 3.14.)
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Question

Accepted Answer

7.
# Explanation:
## Step1: Recall the circumference formula
The formula for the circumference of a circle is $C = 2\pi r$.
## Step2: Substitute the given radius
Given $r = 4$ inches and $\pi=3.14$, we substitute into the formula: $C=2	imes3.14	imes4$.
## Step3: Calculate the result
$C = 25.12$ inches.
# Answer:
$25.12$ inches

8.
# Explanation:
## Step1: Recall the perimeter formula for a rectangle
The perimeter of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width.
## Step2: Substitute the given values
Given $l = 15$ feet and $w = 8$ feet, we have $P=2(15 + 8)$.
## Step3: First calculate inside the parentheses
$15+8 = 23$ feet.
## Step4: Then multiply by 2
$P=2	imes23=46$ feet.
# Answer:
$46$ feet

9.
# Explanation:
## Step1: Recall the perimeter formula for a rectangle
$P = 2(l + w)$, here $l = 10$ and $w = 8$.
## Step2: Substitute values
$P=2(10 + 8)$.
## Step3: Calculate
$P = 36$
## Step4: Recall the area formula for a rectangle
$A=l	imes w$, so $A = 10	imes8=80$
# Answer:
Perimeter: $36$, Area: $80$

10.
# Explanation:
## Step1: Recall the perimeter formula for a square
The perimeter of a square is $P = 4s$, where $s$ is the side - length. Here $s = 9$, so $P=4	imes9 = 36$.
## Step2: Recall the area formula for a square
$A=s^{2}$, so $A=9^{2}=81$
# Answer:
Perimeter: $36$, Area: $81$

11.
# Explanation:
## Step1: Recall the perimeter formula for a triangle
$P=a + b + c$, where $a = 5$, $b = 5$, $c = 6$, so $P=5 + 5+6=16$.
## Step2: Recall the area formula for a triangle
$A=\frac{1}{2}	imes base	imes height$. Here base $=6$ and height $ = 4$, so $A=\frac{1}{2}	imes6	imes4 = 12$
# Answer:
Perimeter: $16$, Area: $12$

12.
# Explanation:
## Step1: Recall the circumference formula
$C = 2\pi r$, with $r = 7$, $C=2	imes3.14	imes7=43.96$.
## Step2: Recall the area formula
$A=\pi r^{2}$, so $A=3.14	imes7^{2}=3.14	imes49 = 153.86$
# Answer:
Circumference: $43.96$, Area: $153.86$

13.
# Explanation:
## Step1: Recall the perimeter formula for a triangle
$P=a + b + c$, where $a = 19$, $b = 17$, $c = 21$, so $P=19 + 17+21=57$.
## Step2: Recall the area formula for a triangle
$A=\frac{1}{2}	imes base	imes height$. Here base $=21$ and height $ = 8$, so $A=\frac{1}{2}	imes21	imes8=84$
# Answer:
Perimeter: $57$, Area: $84$

14.
# Explanation:
## Step1: Recall the perimeter formula for a rectangle
$P = 2(l + w)$, here $l = 18.5$ and $w = 7.5$, so $P=2(18.5 + 7.5)=2	imes26 = 52$.
## Step2: Recall the area formula for a rectangle
$A=l	imes w$, so $A=18.5	imes7.5 = 138.75$
# Answer:
Perimeter: $52$, Area: $138.75$

15.
# Explanation:
## Step1: Recall the perimeter formula for a triangle
$P=a + b + c$, where $a = 13$, $b = 20$, $c = 21$, so $P=13+20 + 21=54$.
## Step2: Recall the area formula for a triangle
$A=\frac{1}{2}	imes base	imes height$. Here base $=21$ and height $ = 12$, so $A=\frac{1}{2}	imes21	imes12=126$
# Answer:
Perimeter: $54$, Area: $126$

16.
# Explanation:
## Step1: Recall the circumference formula
$C=\pi d$, with $d = 11$, $C = 3.14	imes11=34.54$.
## Step2: Recall the area formula
$A=\pi(\frac{d}{2})^{2}$, so $A=3.14	imes(\frac{11}{2})^{2}=3.14	imes30.25 = 94.985$
# Answer:
Circumference: $34.54$, Area: $94.985$

17.
# Explanation:
## Step1: Recall the perimeter formula for a square
The perimeter of a square is $P = 4s$, where $s = 13$, so $P=4	imes13=52$.
## Step2: Recall the area formula for a square
$A=s^{2}$, so $A = 13^{2}=169$
# Answer:
Perimeter: $52$, Area: $169$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall the circumference formula

Step2: Substitute the given radius

Step3: Calculate the result

Step1: Recall the perimeter formula for a rectangle

Step2: Substitute the given values

Step3: First calculate inside the parentheses

Step4: Then multiply by 2

Step1: Recall the perimeter formula for a rectangle

Step2: Substitute values

Step3: Calculate

Step4: Recall the area formula for a rectangle

Answer: