This figure consists of a rectangle and a quarter circle.

Mathematics

2 answers:

stealth61 [152]3 years ago

6 0

Answer: add all the sides up 20+2+2+11+3.14

Step-by-step explanation:

Anna71 [15]3 years ago

3 0

<h3>Answer: 61.27 cm</h3>

========================================================

Work Shown:

The bottom most horizontal portion is 2 cm long since opposite sides of a rectangle are the same length. The right-most vertical piece, toward the bottom, is 20-11 = 9 cm long.

The curved piece represents 1/4 of the distance around a full circle of radius 11. So we'll need to find the circumference of the full circle of radius 11.

C = 2*pi*r

C = 2*3.14*11

C = 69.08

Then divide by 4 to get 69.08/4 = 17.27

The curved piece is roughly 17.27 cm long.

-----------

We have these 6 pieces that make up the full perimeter

top horizontal = 2 cm
left vertical = 20 cm
bottom horizontal = 2 cm
right vertical = 9 cm
middle horizontal = 11 cm
curved piece = 17.27 cm (approximate)

Adding those 6 pieces leads to: 2+20+2+9+11+17.27 = 61.27

The perimeter is 61.27 cm. This value is approximate since pi = 3.14 is approximate.

You might be interested in

Compute 1 + 2 + 3 + 4 + ... +48 +49 + 50.

ad-work [718]

Answer:

1275

Step-by-step explanation:

This is an arithmetic series. The formula for this is Sₙ = (n/2)(a₁ +aₙ)d. a₁ is the first term, so here it is 1, and aₙ is the nth term, or the last term, which is 50 here, but we don't know n.

Now we have to use the equation for an arithmetic sequence to solve for n. A sequence would just be if there was not a last number and it went on forever. that equation looks like aₙ = a₁ + (n - 1)d. Now the only new variable is d, which is the common difference. You can find that by subtracting one term from the term before it, like 2-1 = 1, so d is 1.

We can now solve for n by plugging our numbers into the second equation, so 50 = 1 + (n - 1)1, we can distribute the 1 and to (n-1) and get 50 = 1 + n - 1. Now the ones will cancel and we are left with n = 50

Finally we can plug everything into our original equation and find Sₙ = (50/2)(1+50), which simplifies to Sₙ = 25(51), and Sₙ = 1275.

4 0

3 years ago

Read 2 more answers

What is the factored form of 3x + 21x-24?

anastassius [24]

Answer:

factorize form of the equation is $24(x-1)=0$ , where $x=1$