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Chord geometry real life example7/1/2023 The area formed by joining the endpoints of an arc with the help of a chord is known as a segment. The smaller area formed between the arc and the two radii is known as the minor sector, whereas the larger area formed is known as the major sector. The area formed by joining the endpoints of the arc to the centre is known as a sector. ChordĪ straight line segment joining the two points lying on the boundary of the circle is known as a chord. The shorter distance between the two points signifies the minor arc, whereas the larger distance represents the major arc. The line joining the two points present on the boundary of the circle is known as an arc. The diameter is twice the magnitude of the radius of a circle. The line that joins the two boundary points of a circle and passes through the centre is known as the diameter. The fixed distance from the centre to the outer boundary of the circle is known as radius. Calculate the area of the circle.The fixed point situated in the middle of the circle is known as the centre. Calculate the area of the circular segment between the chord joining the ends of the two radii and its corresponding arc.Ī chord of 48 cm is 7 cm from the center of a circle. Calculate the total walking area available to pedestrians visiting the park.Ī central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the area of the circular trapezoid formed by the radii and concentric circles.Ī circular fountain of 5 m radius lies alone in the center of a circular park of 700 m radius. Two radii (plural for radius) OA and OB form an angle of 60° for two concentric circles with 8 and 5 cm radii. The entire area of the park has grass with the exception of the bases for the lamps. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with a radius of 1 m. Calculate the maximum distance travelled by the seat of the swing when the swing angle is described as the maximum.įind the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius. The rope that attaches a swing to a tree is 1.8 m long and the maximum difference between trajectories is an angle of 146°. Calculate the distance travelled by each when they have rotated 50 times around the center. Exercise 10Ĭalculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.Īnne is riding a horse which is tied to a pole with a 3.5 m piece of rope and her friend Laura is riding a donkey which is 2 m from the same center point. Exercise 9Ī chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circular segment between the chord joining the ends of the two radii and its corresponding arc. Exercise 8Ī central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the total walking area available to pedestrians visiting the park. Exercise 7Ī circular fountain of 5 m radius lies alone in the centre of a circular park of 700 m radius. Calculate the area of the circular trapezoid formed by the radii and concentric circles. Exercise 4Ĭalculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm. Exercise 3įind the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius. Calculate the maximum distance travelled by the seat of the swing when the swing angle is described as the maximum. Calculate the distance travelled by each when they have rotated 50 times around the centre. Anne is riding a horse which is tied to a pole with a 3.5 m piece of rope and her friend Laura is riding a donkey which is 2 m from the same center point.
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