Chapters

## Exercise 1

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. Calculate the distance travelled by each when they have rotated 50 times around the centre. The best Maths tutors available  4.9 (36 reviews)
Intasar
£48
/h 1st lesson free!  4.9 (29 reviews)
Paolo
£30
/h 1st lesson free!  5 (16 reviews)
Jamie
£25
/h 1st lesson free!  5 (16 reviews)
Harinder
£15
/h 1st lesson free!  5 (32 reviews)
Sehaj
£25
/h 1st lesson free!  5 (17 reviews)
Matthew
£30
/h 1st lesson free!  4.9 (8 reviews)
Gian lorenzo
£65
/h 1st lesson free!  4.9 (12 reviews)
Petar
£40
/h 1st lesson free!  4.9 (36 reviews)
Intasar
£48
/h 1st lesson free!  4.9 (29 reviews)
Paolo
£30
/h 1st lesson free!  5 (16 reviews)
Jamie
£25
/h 1st lesson free!  5 (16 reviews)
Harinder
£15
/h 1st lesson free!  5 (32 reviews)
Sehaj
£25
/h 1st lesson free!  5 (17 reviews)
Matthew
£30
/h 1st lesson free!  4.9 (8 reviews)
Gian lorenzo
£65
/h 1st lesson free!  4.9 (12 reviews)
Petar
£40
/h 1st lesson free!

## Exercise 2

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 maximum distance travelled by the seat of the swing when the swing angle is described as the maximum.

## Exercise 3

Find the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius.

## Exercise 4

Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm. ## Exercise 5

In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with a radius of 1 m. The entire area of the park has grass with the exception of the bases for the lamps. Calculate the lawn area.

## Exercise 6

Two radii (plural for radius) OA and OB form an angle of 60° for two concentric circles with 8 and 5 cm radii. Calculate the area of the circular trapezoid formed by the radii and concentric circles.

## Exercise 7

A circular fountain of 5 m radius lies alone in the centre of a circular park of 700 m radius. Calculate the total walking area available to pedestrians visiting the park.

## Exercise 8

A central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the area of the circular segment between the chord joining the ends of the two radii and its corresponding arc.

## Exercise 9

A chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circle.

## Exercise 10

Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.

## Solution of exercise 1

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. Calculate the distance travelled by each when they have rotated 50 times around the center.  m   ## Solution of exercise 2

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 maximum distance travelled by the seat of the swing when the swing angle is described as the maximum. ## Solution of exercise 3

Find the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius.  ## Solution of exercise 4

Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm.  Area of a square =  ## Solution of exercise 5

In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with a radius of 1 m. The entire area of the park has grass with the exception of the bases for the lamps. Calculate the lawn area.  ## Solution of exercise 6

Two radii (plural for radius) OA and OB form an angle of 60° for two concentric circles with 8 and 5 cm radii. Calculate the area of the circular trapezoid formed by the radii and concentric circles.  ## Solution of exercise 7

A circular fountain of 5 m radius lies alone in the center of a circular park of 700 m radius. Calculate the total walking area available to pedestrians visiting the park.  ## Solution of exercise 8

A central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the area of the circular segment between the chord joining the ends of the two radii and its corresponding arc.     ## Solution of exercise 9

A chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circle.   ## Solution of exercise 10

Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length. Diagonal of the square= 2R

D = 8 cm             R = 4 cm       The platform that connects tutors and students     4.00 (4 rating(s)) Loading... 