All categories

3 years ago

the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle

Mathematics

1 answer:

Andreas93 [3]3 years ago

4 0

Answer:

Step-by-step explanation:

the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.

They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.

We should recall:

diameter = 2 times the radius circumference of a cirlce = 2π r

How do we find the diameter of the of the semi circle?

The perimeter of the semi circle is given as 108 cm

Perimeter of the semicirle = 2r + π r diameter plus semi circumference

108 = r ( 2 + π) factor out the r and solve for r

108 / (2 + π) = r divide both sides by ( 2 + r)

Now we know r, the perimeter of the squqre is 4 times 2r or 8r

perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14

= 864 / 5.14

= 168.1 cm I got rounded to nearest tenth

When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.

You might be interested in

Choose the sentence that correctly uses pronouns.

Veronika [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A spinner divided into four equal parts, A, B, C, and D, is spun, then is followed by a roll of a standard six-sided die.

gavmur [86]

Answer: 24

Step-by-step explanation:

Total Possible Outcomes given A, B, C, D and 1, 2, 3, 4, 5, 6

= 4 x 6

= 24

*******************************************************************************

Answer: 3

Step-by-step explanation:

Total outcomes for an A and and odd number

= A and (1 or 3 or 5)

= 1 x 3

= 3

*******************************************************************************

Answer: $\bold{\dfrac{1}{4,}\qquad \dfrac{1}{2,}\qquad \dfrac{1}{8}}$

Step-by-step explanation:

Probability of an A out of A, B, C, D is: $\dfrac{1}{4}$

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

Probability of an A and an odd is: $\dfrac{1}{4}\times\dfrac{1}{2}=\dfrac{1}{8}$

*******************************************************************************

Answer: $\bold{\dfrac{1}{2}}$

Step-by-step explanation:

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

*******************************************************************************

Answer: $\bold{\dfrac{3}{4}}$

Step-by-step explanation:

Probability of an A or an odd is: $\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}$

6 0

3 years ago

A Honda Element with a dealer invoice price of $19,700 was retail priced at $23,000 how much is the approximate percent markup b

34kurt

Answer:

1.17%

Step-by-step explanation:

23,000 divide by 19,700

7 0

3 years ago

What is 18.9% of 62650

zepelin [54]

Answer:

11840.85

Step-by-step explanation:

18.9% of 62650 = 11840.85

7 0

3 years ago

A pet store has 2 gray rabbits. one eighth of the rabbits at the pet store are gray. How many rabbits does the pet store have?

tatyana61 [14]

We know that 1 out of 8 rabbits are gray. And there is 2 gray rabbits.

You have to be proportionate:

there will be 16 rabbits total, because we keep the proportion of 1 out of 8

5 0

3 years ago

the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle ​

the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle