4 circles are drawn inside a 6cm square, find the area of the rest of the square

Mathematics

1 answer:

ser-zykov [4K]3 years ago

8 0

Answer:

$diameter \: of \: circle = 6 \div 2 = 3$

$radius = 3 \div 2 = 1.5cm$

$a \: of \: 1 \: circle = 1.5 {}^{2} \times \pi = 2.25\pi$

$a \: of \: 4 \: circles = 2.25 \times 4 = 9cm {}^{2}$

$a \: of \: square = 6 {}^{2} = 36cm ^{2}$

$a \: of \: rest = 36 - 9 = 18cm {}^{2}$

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I don’t know how to solve for Q.

Naya [18.7K]

Answer:

∠Q = 75°

Step-by-step explanation:

Start by recognizing that the triangle is isosceles (the long sides are marked as being equal-length). That means angles Q and R have the same measure.

Next, you use the fact that the sum of angles is 180° to write an equation.

∠R +∠P +∠Q = 180°

(2x +15)° +x° +(2x +15)° = 180° . . . . substitute the known values

5x +30 = 180 . . . . . . . . . . . . . . . . divide by °, collect terms

5x = 150 . . . . . . . . subtract 30

x = 30 . . . . . . . divide by 5

Then angle Q is ...

∠Q = (2x +15)° = (2×30 +15)°

∠Q = 75°

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2 years ago

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Drupady [299]

C.) 3:5 = 12:20
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3 years ago

Copy DEF to the line so that S is the vertex. This task will be complete when you have constructed an angle with vertex S that i

tino4ka555 [31]

Explanation:

There are numerous videos and web sites that can show you the process of copying an angle. Some are animated. The best we can do here is show you a diagram with instructions. Of course, your curriculum materials already provide that.

1. Set the compass to a convenient radius. Use that to draw an arc through rays ED and EF, using point E as the center.

2. Without changing the compass setting, draw a similar arc using S as the center, making sure it crosses the line containing S and extends far enough to accommodate the following steps. (In the attached, we show a full circle, because the tool we used won't draw an arc with a specific radius.)

3. Mark the points where the arc crosses ED as G, and where it crosses EF as H. Mark the point where the arc crosses the line containing S as I.

4. Set the compass radius to the distance GH. Using I as the center draw an arc with that radius so that it crosses the one made in step 2. Call that intersection point J. (Again, we have shown a circle because of the limitations of the tool being used for our diagram.)

5. Draw ray SJ to complete the angle copy.