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What is the area of a sector with radius 6 and measure of arc equal to 120 degrees?
Wiki User
∙ 10y ago
Its square area is: 1/3*pi*62 = 12*pi or 37.699 to 3 decimal places
Wiki User
∙ 10y ago
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What is the area of a sector with radius 10 and measure of the arc equal to 45 degrees?
Area of circle sector: 45/360 times pi times 10 squared = 39.27 square units rounded to two decimal places
A pan of pizza is divided into 8 equal sectors for easy slicing. What is the measure of the central angle of each sector?
360/8 = 45 degrees
What is the radius of a sector with 36 degree angle and a 1.1 radius rounded to nearest hundredth?
As the angle (35 degrees) and the radius (1.1) of the sector are given, you need to find the area of the sector. I think the problem is asking you to do that.The area of a sector is equal to (1/2)(r^2)(θ), where r is the radius and θ is the angle in radians.In order to use this formula we need to convert degrees to radians.360 degrees = 2 pi radians1 degree = (2 pi)/360 = pi/180 radians So,36 degrees = 36(pi/180)= pi/5Thus,(1/2)(r^2)(θ) = (0.5)(1.1)^2(pi/5) ≈ 0.38
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.
Divide a Circle into 9 Equal Parts?
Draw radius lines 40 degrees apart. 360 degrees divided by 9 = 40
What is the area of a sector with radius 10 and measure of the arc equal to 45 degrees?
Area of circle sector: 45/360 times pi times 10 squared = 39.27 square units rounded to two decimal places
What is the area of a sector whose central angle is ninety degrees and has a radius of ten inches?
Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius. The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2. The area will be 1/4*3.14*10^2 or 78.5 in^2.
What is the approximate area of a sector with radius equal to 8 and measure of arc equal to 300 degrees?
The area of the full circle is (pi) R2 = 64 pi.We call a full circle "360 degrees".The 300-degree sector is (300/360) = 5/6 of the full circle, so its area is(5/6) x (64 pi) = 167.55 square units (rounded)
What is the measure of the central angle of each sector if you divide a circle into five equal sectors?
360 degrees / 5 pieces = 72 degrees
A pan of pizza is divided into 8 equal sectors for easy slicing. What is the measure of the central angle of each sector?
360/8 = 45 degrees
Is the measure of an arc equal to the measure of its central angle?
Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in degrees.
What is the radius of a sector with 36 degree angle and a 1.1 radius rounded to nearest hundredth?
As the angle (35 degrees) and the radius (1.1) of the sector are given, you need to find the area of the sector. I think the problem is asking you to do that.The area of a sector is equal to (1/2)(r^2)(θ), where r is the radius and θ is the angle in radians.In order to use this formula we need to convert degrees to radians.360 degrees = 2 pi radians1 degree = (2 pi)/360 = pi/180 radians So,36 degrees = 36(pi/180)= pi/5Thus,(1/2)(r^2)(θ) = (0.5)(1.1)^2(pi/5) ≈ 0.38
How do you divide a circle into five equal parts?
If a circle is comprised of 360 degrees, then each of the five sections will encompass 72 degrees. From an arbitrary radius, using a protractor, measure 72 degrees, then continue around the circle.
What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm?
4.189/3 = 1.3963 radians = roughly 80 degrees(rounded)
How many degrees per second per second equal 1 G?
G is a measure of linear acceleration. For rotational motion it is necessary to multiply the degrees by the distance from the centre of rotation (radius of rotation).
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.
What is the area of a sector with radius ten and measure of arc equal to forty-five degrees?
The area of the full circle is (pi) R2 = (pi) (10)2 = 100 pi45° = 45°/360° = 1/8 of the full circle1/8 of the area of the full circle = 100 pi/8 = 12.5 pi square units.
