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Makovka662 [10]
3 years ago
6

If the area of a circle is 20.4 units squared, what is the radius?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

r = 2.55

Step-by-step explanation:

The formula for finding the radius of a circle using the area is r = √A/π

with the r being the radius. the A being the area, and the π being pi (we'll use 3.14).

So the equation should look like this:

r = √(20.4/3.14)

Find the quotient of 20.4/3.14 and round to the nearest tenth

r = √6.5

Find the square root and round to the nearest hundredth

r = 2.55

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Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

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Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

Thus, the perimeter of the square is

= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

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3 years ago
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Hope this helped!

8 0
2 years ago
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