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Home - Fort Worth
beans
! Kahoot!
Building an Emotion
Inbox (34)
MyIXI
Learning
Assessment
V. 6 Area and perimeter of semicircles and quarter circles
2MP
The radius of a quarter circle is 2 feet. What is the quarter circle's perimeter?
Use
pi~~3.14 and round your answer to the nearest hundredth.

◻ feet
Submit

Home - Fort Worth $\newline$ beans $\newline$ ! Kahoot! $\newline$ Building an Emotion $\newline$ Inbox ( $34$ ) $\newline$ MyIXI $\newline$ Learning $\newline$ Assessment $\newline$ V. $6$ Area and perimeter of semicircles and quarter circles $2 \mathrm{MP}$ $\newline$ The radius of a quarter circle is $2$ feet. What is the quarter circle's perimeter? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\square$ feet $\newline$ Submit

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Circles: word problems

Full solution

Q. Home - Fort Worth

\newline

beans

\newline

! Kahoot!

\newline

Building an Emotion

\newline

Inbox (

34

)

\newline

MyIXI

\newline

Learning

\newline

Assessment

\newline

V.

6

Area and perimeter of semicircles and quarter circles

2 \mathrm{MP}

\newline

The radius of a quarter circle is

2

feet. What is the quarter circle's perimeter?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\square

feet

\newline

Submit

Calculate curved perimeter: First, calculate the curved part of the perimeter, which is a quarter of the circumference of a full circle. $\newline$ Circumference of a full circle $= 2 \cdot \pi \cdot \text{radius}$ $\newline$ So, for a quarter circle, it's $(2 \cdot \pi \cdot \text{radius}) / 4$
Plug in values: Plug in the values: $(2 \times 3.14 \times 2) / 4$ $\newline$ That's $(12.56) / 4$
Calculate straight edges: Now, calculate the straight edges of the quarter circle. There are two straight edges, each equal to the radius. $\newline$ So, $2 \times \text{radius} = 2 \times 2 = 4$ feet
Add curved and straight edges: Add the curved part and the straight edges to get the total perimeter. $\newline$ Curved part: $\frac{12.56}{4} = 3.14$ feet $\newline$ Straight edges: $4$ feet $\newline$ Total perimeter = $3.14 + 4$
Calculate total perimeter: Total perimeter = $7.14$ feet $\newline$ Round to the nearest hundredth, which doesn't change the value in this case.

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