How do you calculate the radius of an arc?
Measure the length of the chord and the length of the bisecting line segment from the chord to the top of the arc. Enter the values into the formula (h/2) + (w^2/8h), where h is the arc height and w is the length of the chord. The result will be the radius.
How do you find the radius when you have the area and angle?
You can find the radius of both the sector and the circle by using the sector’s angle and area. Double the area of the segment. For example, if the segment area is 24 cm^2, then doubling it results in 48 cm^2.
How do you find the area of a sector with 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.
What is the perimeter of an arc?
The perimeter is the distance all around the outside of a shape. We can find the perimeter of a sector using what we know about finding the length of an arc. A sector is formed between two radii and an arc. To find the perimeter, we need to add these values together. Perimeter = Arc length + 2r.
What is the perimeter of a sector of angle 45 of a circle with radius 7 cm?
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.
What is the perimeter of a sector of angle 90 of a circle with radius 7 cm?
= 14 +11 = 25 cm. If the measure of sector of a circle with radius 7 cm is 90∘ , what is the perimeter of the sector?
What is the perimeter of a sector of angle 45 of a circle with radius 9 cm?
Answer: The perimeter of the given sector is 5.5 cm.
How do you find the perimeter of a chord?
Perimeter of the segment = (θ π r / 180) + 2r sin (θ/2). Chord length of the circle = 2 √ [ h (2r – h ) ] = 2r sin (θ/2).
What is the meaning of circle number?
automorphic number