All categories

3 years ago

The perimeter of the square is 64 inches. What is the perimeter of the shaded region?

Mathematics

1 answer:

ioda3 years ago

5 0

Answer:

54.94 inches

Step-by-step explanation:

First you need to find the radius of the semi-circles within the square.

You find this by dividing the perimeter by 8

64/8 = 8

now use the formula πr^2 to find the area of the semi circle

π8^2 = 201.06

Now find the total area of the square and subtract it from the area of the two semi circles to find the shaded region

16*16 = 256

256-201.06 = 54.94

You might be interested in

Find the value of b.

Nesterboy [21]

Answer: $230^{\circ$

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume $\overline{AB}$ and $\overline{BC}$ are tangents to the circle.

$\overline{BO} \cong \overline{BO}$ (reflexive property)
$\overline{AB} \cong \overline{BC}$ (tangents drawn from a common external point are congruent)
$\angle BAO \cong \angle BCO$ (right angles are congruent)

Therefore, we know $\triangle ABO \cong \triangle CBO$ by HL.

Thus, by CPCTC,

$\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}$

This means the measure of minor arc AC is $130^{\circ}$ , and thus $b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}$

7 0

2 years ago

johns coffee shop makes a blend that is a mixture of two types of coffee. type a cost 4.05 per lb. and type b cost 5.60 per lb.

ANTONII [103]

Dear Jazzy870, John uses 161-162 lb of coffee a. Use the equation 655.70/4.05≈161.901.

3 0

3 years ago

In recent history, calculus students have been expected to work out partial fraction expansions by hand.

Nina [5.8K]

Answer:

true

Step-by-step explanation:

4 0

3 years ago

Help pls so people say it’s none of these but idk I am confused.

crimeas [40]

Answer:

Volume = $\pi r^2 h$

2512 = 3.14 × r^2 × 8

$r^2 = \displaystyle\frac{314}{3.14}$

$r^2 = 100$

$r = 10 \ cm$

$Diameter = 2r = 20 \ cm$

Dont get confused try to understand : )

8 0

3 years ago

Read 2 more answers

I need to write a world story problem that requires more then one operation and one unknown variable that needs calculation

kodGreya [7K]

Problem: Maria baked 50 cupcakes for a bake sale, 29 of the cupcakes were sold, then she baked more cupcakes and then sold 52 and had two leftover cupcakes. How many cupcakes did she bake the second time?

Solution: 50 - 29 + a - 52 = 2
50 - 29 =21...(and etc.)

Hope this helps! :)

7 0

4 years ago

Read 2 more answers