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Alona [7]
3 years ago
14

An arc of a circle of radius 7cm subtends an eagle of 120degree at the centre. Find its perimeter.

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

\dfrac{14\pi }{3}\ cm

Step-by-step explanation:

The circumference of the circle with radius of 7 cm is

C=2\pi r\\ \\C=2\pi \cdot 7=14\pi \ cm

An arc of a circle o subtends an angle of 120^{\circ} at the centre.

The circle has the full angle of 360^{\circ}, then

14\pi \ cm - 360^{\circ}\\ \\x\ cm - 120^{\circ}

Write a proportion:

\dfrac{14\pi }{x}=\dfrac{360}{120}\\ \\\dfrac{14\pi }{x}=\dfrac{3}{1}\\ \\14\pi =3x\\ \\x=\dfrac{14\pi }{3}\ cm

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(0,65-3,21)por(-8,12)=?
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Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

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Then you can follow the steps shown below in order to solve it:

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Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

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6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the
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Answer:

A = 137.3cm^2

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

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\cos(68) = \frac{7}{h} --- cosine formula

Make h the subject

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