If you're asking for the area of the sector, it's the central angle of 360, times the area of the circle, for example, if the central angle is 60, and the two radiuses forming it are 20 inches, you would divide 60 by 360 to get 1/6.
Beyond, what is the formula for a sector? Area of a sector In a circle with radius r and centre at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of a sector of circle formula is calculated using the unitary method. Now the area of the sector for the above figure can be calculated as (1/8) (3.14×r×r).
At any rate, what is angle of a sector?
A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a semicircle. ... The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is equal to half the central angle.
How do you find the area of a sector without an angle?
The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
There are two types of central angles. A convex central angle, which is a central angle that measures less than 180 degrees and a reflex central angle, which is a central angle that measures more than 180 degrees and less than 360 degrees. These are both part of a complete circle.
Arc Measure Definition An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees, and we can easily convert between each with the formula π radians = 180° π r a d i a n s = 180 ° .
Areas Related to Circles What is the perimeter of a sector of angle 45° of a circle with radius 7 cm ? [Use π = 22/7]. (i) The area of that part of the field in which the horse can graze. (ii) The increase in the grazing area if the rope were 10 m long instead of 5m. = 58.93 m2.
The central angle is the angle formed by two The middle ordinate is the distance from the radii drawn from the center of the circle (0) to midpoint of the curve to the midpoint of the the PC and PT. The central angle is equal in long chord. The extension of the middle value to the I angle.
An arc of a circle is a "portion" of the circumference of the circle. The length of an arc is simply the length of its "portion" of the circumference. ... Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.