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A circular sector is formed by two radii and an arc. And the angle formed due to the two radii is central angle(Θ). Area of a sector = (Θ/360) πr2.

If we divide a circle into seven sectors having equal central angles then the circle is divided into seven equal parts.

Angle of the whole circle is 360o. So we should divide the whole angle into 7 equal parts each measuring 360o/7 and then forming the corresponding sectors.

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Q: How do you devide a circle into 7 equal parts?
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What is the greatest number of parts a circle can be cut into by 7 straight cuts?

Providing that the cuts dont overlap each other then the circle will be divided into 8 parts


What is the area of a circle with a radius of 7 feet?

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If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?

Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.


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Related questions

Can you divide a circle into 7 equal parts?

Technically no because 360/7 is a repeating decimal but it can be approximated


How do you divide a circle into 7 parts?

Make a horizontal line and vertical line through the circle. You now have 4 parts. Make a line from the center to the edge of the circle in 3 of these parts and you now have 7 parts.


How many parts in a circle?

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You can


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21 divided in to 3 equal parts = 7


What is the greatest number of parts a circle can be cut into by 7 straight cuts?

Providing that the cuts dont overlap each other then the circle will be divided into 8 parts


What is the area of a circle with a radius of 7 feet?

The area of a circle is equal to pi*r2, where pi is the radius. In this case, the area is equal to pi*(7 feet)2, which is about 154 square feet.


Is a fraction represend the number of equal parts?

Yes. For example, 4/7 represents four out of seven equal parts of something.


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