Geometry

# How would you find the radius of a circle when the minor arc angle is 190 degrees and the sector area is 662.89?

###### Wiki User

Total area of circle: 360/190 times 662.89/1 = 1256 rounded to the nearest integer

Radius of the circle = square root of 1256/pi = 20 rounded to the nearest integer

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## Related Questions

### What is the area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?

The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.

### How do you find the degrees sector of an circle?

It depends on what information you have: the radius and the area of the sector or the length of the arc.

### What is the radius of a circle with a sector are of 662.89?

Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees

### 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.

### How do you work out the area of a sector when given the length of the arc?

If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)

### If a circle has a radius of 12 cm and a sector defined by a 120 degree arc what is the area of the sector?

if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector

### What is the radius of a circle if it had a 90 degree sector and an area if 64pi?

From your question, we can't tell whether [ 64 pi ] is the area of the circleor the sector.The area of a circle is [ pi R2 ].If [ 64 pi ] is the area of the circle, then the radius is [ 8 ], and we don't careabout the sector.If [ 64 pi ] is the area of the sector, then the area of the full circle is [ 256 pi ](because the 90-degree sector is 1/4 of the circle), and the radius is [ 16 ].

### Find the area of the sector when the sector measures 10 degrees and the diameter of the circle is 12?

For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.

### What is the radius of the sector with an angle of 27 degrees and arc of 12cm?

The radius of the sector with an angle of 27 degrees and arc of 12cm is: 25.46 cm

### The area of the sector formed by the 110 degree is 50 units what is the radius of the circle?

If you mean a sector with an arc of 110 degrees and an area of 50 square units Area of all the circle: 360/110 times 50 = 163.'63' square units Radius of the circle is the square root of 163.'63'/pi = 7.2171377402 So the radius of the circle is about 7 units

### Find the area of a 120 degree sector of a circle with a radius of 6?

There are 360 degrees in a circle so it will be 1/3 of pi*62 square units

### How many degrees are in a circle with radius 4?

There are 360 degrees in any circle. The radius doesn't matter.

### A sector of a circle has a central angle of 50 and an area of 605 cm2 Find the radius of the circle?

If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm

### How do you find the area of a sector of a circle when you're given only the radius and not the degrees?

You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.

### Find the area of a sector of a circle with radius 12 and arc length 10pi?

The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.

### How do I measure different parts of a circle?

Circumference of a circle = 2*pi*radius or diameter*pi Area of a circle = pi*radius squared Radius of a circle = diameter/2 Degrees around a circle = 360 degrees

### Area of a part of circle?

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)

### Find the area of a sector in a circle if the radius is 4 cm and the arc has degree 120?

The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2

### What us the answer to the sector if the radius was 6cm and the angle was 120 degrees?

The sector isn't a question, and there's no answer to it. There are a fewnumbers that describe it, however, and they can be calculated like this:-- The circumference of the circle is (pi) x (diameter) = 12 pi cm-- The area of the circle is (pi) x (radius)2 = 36 pi cm2-- 120 degrees is 1/3 of the circle.The length of the arc of the sector is 12 pi/3 = 12.5664 cm (rounded)The area of the sector is 36 pi/3 = 37.6991 cm2(rounded)

### What is the radius of circle with an area sector of 662.89?

The area of a circle is derived from Pi x r2 where Pi = 3.14 and r = the radius, therefore a circle with an area of 662.89 has a radius of 14.5

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