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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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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.
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.
How do you find the circumfirence of a circle?
The circumference of a circle is the distance all around the edge of the circle. To find the circumference of a circle, you use the formula C equals 2 times pi times r, where pi is equal to 22 over 7 and r is the radius.
Is the area of a circle of radius 14 units equal to the surface area of a sphere of radius 7 units?
surface_area_sphere = 4 × π × radius_sphere² = π × (2 × radius_sphere)² area_circle = π × radius_circle² These are equal when: π × radius_circle² = π × (2 × radius_sphere)² → radius_circle² = (2 × radius_sphere)² → radius_circle = 2 × radius_sphere As the given circle has a radius of 14 units and the given sphere has a radius of 7 units, and 14 = 2 × 7, it is true that the area of a circle with a radius of 14 units is the same as the surface area of a sphere with a radius of 7 units.
