# What is the area of a circle with radius of 2 m.after a sector of 86 degrees has been removed?

Area of circle: 274/360 times pi times 2 squared = 9.564 square m rounded to 3 decimal places

It is 9.6 square feet.

### What is 2 3rds of a circle?

It depends on the shape that is removed. It could be a smaller circle, whose radius is sqrt(2/3) = 0.8165 of the original radius, Or a circle with a hole with radius sqrt(1/3) = 0.5774 of the original radius cut out of it, Or a wedge making a central angle of 120 degrees removed from the circle, Or more complicated shapes.

### How many degrees are in the arc of a circle?

A circle contains 360 degrees. Draw a circle, add a radius to any point on it, and then rotate the radius completely around. After it has returned to the point it initially intersected the curve, the radius will have rotated through 360 degrees. (another explanation, maybe no better.) A complete circle measures 360 degrees, so a half-circle is 180 degrees, a quarter-circle is 90 degrees and so forth. Another way to look at it is…

### What happens between a radius and a tangent in a circle?

A tangent is always perpendicular to the radius of a circle. A radius is a straight line going from the center of the circle to the circumference (edge) of the circle. A tangent is a straight line outside the circle that touched the circle at one (and only one) point. When a tangent touches the outside edge of the circle at the same point where a radius touches the edge of the circle, the angle…

### Why Pi should be replaced with tau?

Pi (3.14) should be replaced with tau because angles are measured easily in radians than in degrees. For an example, there are 2Pi radians in a circle. 2Pi is equal to one tau (6.28). Therefore, there are tau radians (360 degrees) in a circle. A semicircle would have half tau (180 degrees) and a quarter of a circle a quarter tau (90 degrees) and so forth. P.S. - Pi is a constant which references the…

### Given a circle with a radius of 6 what is the length of an arc measuring 60 degrees?

The length of an arc measuring 60 degrees given a circle with a radius of 6 is 2*pi, that is 6,2831 approximately. The perimeter of a circle is calculated with the formula: L = 2 * pi * r where L is the perimeter and r the radius of the circle. This is equivalent to calculating the length of an arc measuring 360 degrees. The length of any arc smaller than 360 is proportionally smaller…

### What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 230?

The major arc = 230 degrees -- The minor arc ... the arc between the tangents ... is (360 - 230) = 130 degrees. -- The line from the vertex of the angle to the center of the circle bisects the arc, so the angle between that line and the radius to each tangent is 65 degrees. -- The radius to each tangent is perpendicular to the tangent. So the radius, the tangent, and…

### If the radius of a circle is 21cm What is the radius?

The radius of any circle is the straight line distance from the centre of the circle to any point on the circumference of the circle. The radius being 21 cm makes no difference to the definition of the radius; it just means that the straight line distance from the centre of that circle is 21cm away from any point on the circumference of that circle. The radius of a circle with a radius of 21…