once upon a time
OUR OWN HIGH SCHOOL, AL WARQA’A, DUBAI
GRADE: X - AREAS RELATED TO CIRCLES
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ASSIGNMENT: 1
Sum of radii of two circles is 140 cm and the difference of their circumferences is 88 cm. Find the diameters of the circles.(154, 126)
The circumference of a circle exceeds its diameter by 16.8 cm. Find the radius of the circle.(3.92) Area of a circular field is 88704 m2. How long will it take to go 10 rounds at the speed of 4.5 km/h?(2h 20m 48s)
A race track is in the form of a ring whose inner circumference is 352 m and the outer circumference is 396 m. Find the width of the track.(7 m)
The area of a circle inscribed in an equilateral triangle is 154 cm 2. Find the perimeter of the triangle.(72.7 cm)
ASSIGNMENT: 2
1. What is the area of shaded region if ABCD is a square of side 14 cm?(Ans: 42 cm2)
2. If the perimeter of the shaded region is
132 cm, find the area of the shaded region.
(Ans: 173.25 cm2)
3. In the given figure, ABC is a right angled triangle,
B = 900, AB = 28 cm and BC = 21 cm. With AC as diameter a semicircle is drawn and BC as radius a quarter circle is drawn. Find the area of the shaded region.(Ans: 428.75 cm2)
4. From a thin metallic piece, in the shape of a trapezium ABCD, in which AB // CD and
BCD = 900, a quarter circle BEFC is removed. If AB = BC = 3.5 cm and DE = 2 cm, calculate the area of the remaining piece of the metal sheet.
(Ans: 6.125 cm2)
5. A crescent is formed by two circles which touch at A.C is the centre of the larger circle and
AB is perpendicular to
CF. If BD = 9 cm and EF = 5 cm, find the area of the shaded region.(Ans: 643.5 cm2)
ASSIGNMENT: 3
1. The boundary of the shaded region in the given diagram consists of four semicircles and two quadrants.
If OP = OQ = OR = OS = 7 cm, and the straight lines PQ and RS are perpendicular to each other, find the area of the shaded region.
(Ans: 77 cm2)
2. Find the perimeter and area of the adjoining figure. (Use π
GRADE: X - AREAS RELATED TO CIRCLES
1.
2.
3.
4.
5.
ASSIGNMENT: 1
Sum of radii of two circles is 140 cm and the difference of their circumferences is 88 cm. Find the diameters of the circles.(154, 126)
The circumference of a circle exceeds its diameter by 16.8 cm. Find the radius of the circle.(3.92) Area of a circular field is 88704 m2. How long will it take to go 10 rounds at the speed of 4.5 km/h?(2h 20m 48s)
A race track is in the form of a ring whose inner circumference is 352 m and the outer circumference is 396 m. Find the width of the track.(7 m)
The area of a circle inscribed in an equilateral triangle is 154 cm 2. Find the perimeter of the triangle.(72.7 cm)
ASSIGNMENT: 2
1. What is the area of shaded region if ABCD is a square of side 14 cm?(Ans: 42 cm2)
2. If the perimeter of the shaded region is
132 cm, find the area of the shaded region.
(Ans: 173.25 cm2)
3. In the given figure, ABC is a right angled triangle,
B = 900, AB = 28 cm and BC = 21 cm. With AC as diameter a semicircle is drawn and BC as radius a quarter circle is drawn. Find the area of the shaded region.(Ans: 428.75 cm2)
4. From a thin metallic piece, in the shape of a trapezium ABCD, in which AB // CD and
BCD = 900, a quarter circle BEFC is removed. If AB = BC = 3.5 cm and DE = 2 cm, calculate the area of the remaining piece of the metal sheet.
(Ans: 6.125 cm2)
5. A crescent is formed by two circles which touch at A.C is the centre of the larger circle and
AB is perpendicular to
CF. If BD = 9 cm and EF = 5 cm, find the area of the shaded region.(Ans: 643.5 cm2)
ASSIGNMENT: 3
1. The boundary of the shaded region in the given diagram consists of four semicircles and two quadrants.
If OP = OQ = OR = OS = 7 cm, and the straight lines PQ and RS are perpendicular to each other, find the area of the shaded region.
(Ans: 77 cm2)
2. Find the perimeter and area of the adjoining figure. (Use π