![]() 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. 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. 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. 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 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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