Class 10 Practice – Level 3 – Set 1 – Circles Leave a Comment / By anushka kumari / September 20, 2024 Class 10 Practice – Level 3 – Set 1 – Circles Total questions: 15 1. The line segment joining the points of contact of two parallel tangent of a circle passes through its center. Is it true or not? Topic: Tangents to a Circle True False Cannot be determined Incomplete information None 2. The angle between the two tangents drawn from an external point to a circle is complementary to the angle subtended by the line-segment joining the points of contact at the center. Topic: Angle Between Tangents True False Incomplete information Cannot be predicted None 3. The parallelogram circumscribing a circle is: Topic: Tangent to a Circle Rhombus Cyclic quadrilateral Square Kite None 4. A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. Calculate the area which will be left ungrazed? Topic: Area of a Sector of a Circle 4565.2 $ \displaystyle {{\text{m}}^{2}}$ 3293.5 $ \displaystyle {{\text{m}}^{2}}$ 2563.4 $ \displaystyle {{\text{m}}^{2}}$ 4582.1 $ \displaystyle {{\text{m}}^{2}}$ None 5. A path of 8 m width runs around the outsider of a circular park whose radius is 17 m. What is the area of the path? Topic: Area of Path Around a Circle $ \displaystyle 1056\text{ }{{\text{m}}^{2}}$ $ \displaystyle 1256\text{ }{{\text{m}}^{2}}$ $ \displaystyle 1136\text{ }{{\text{m}}^{2}}$ $ \displaystyle 1369\text{ }{{\text{m}}^{2}}$ None 6. The radius of a circle with centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of major segment. Topic: Segments of a Circle $ \displaystyle 153.06\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 127.75\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 253.01\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 200.65\text{ c}{{\text{m}}^{2}}$ None 7. A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector. Topic: Area of a Sector of a Circle 36 cm, 577.5 sq. cm 44 cm, 477.8 sq. cm 55 cm, 577.5 sq. cm 29 cm, 677.1 sq. cm None 8. What is the area of a ring whose outer and inner radii are respected 23 cm and 12 cm? Topic: Area of a Ring 1452 $ \displaystyle c{{m}^{2}}$ 1140 $ \displaystyle c{{m}^{2}}$ 1358 $ \displaystyle c{{m}^{2}}$ 1210 $ \displaystyle c{{m}^{2}}$ None 9. A wire when bent in the form of an equilateral triangle encloses an area of 121$ \displaystyle \sqrt{3}c{{m}^{2}}$. The same wire is bent to form a circle. What is the area enclosed by the circle. Topic: Area of a Circle $ \displaystyle 432c{{m}^{2}}$ $ \displaystyle 616c{{m}^{2}}$ $ \displaystyle 512c{{m}^{2}}$ $ \displaystyle 622c{{m}^{2}}$ None 10. The length of an arc of a circle, subtending an angle of 54° at the center is 16.5 cm. What is the radius, circumference and area of the circle? Topic: Arc Length and Circle Properties 18.5 cm, 145 cm, 756.5$ \displaystyle c{{m}^{2}}$ 21.5 cm, 128 cm, 845.1$ \displaystyle c{{m}^{2}}$ 17.5 cm, 110 cm, 962.5$ \displaystyle c{{m}^{2}}$ 31.5 cm, 150cm, 985.2$ \displaystyle c{{m}^{2}}$ None 11. If a square is inscribed in a circle, What is the ratio of the areas of the circle and the square. Topic: Circle Inscribed with Square π : 8 π : 3 π : 6 π : 2 None 12. The side of a square is 10 cm. What should be (i) the area of the inscribed circle, and (ii) the area of the circumscribed circle? [take π =3.14 ] Topic: Circle and Square $ \displaystyle 78.57c{{m}^{2}}$, $ \displaystyle 157.14c{{m}^{2}}$ $ \displaystyle 98.77c{{m}^{2}}$, $ \displaystyle 136.12c{{m}^{2}}$ $ \displaystyle 50.21c{{m}^{2}}$, $ \displaystyle 234.10c{{m}^{2}}$ $ \displaystyle 88.75c{{m}^{2}}$, $ \displaystyle 418.57c{{m}^{2}}$ None 13. The length of a chain used as the boundary of a semicircular park is 108 cm. What should be the area of park? Topic: Semicircle and Area Calculation 875 $ \displaystyle {{m}^{2}}$ 326 $ \displaystyle {{m}^{2}}$ 693 $ \displaystyle {{m}^{2}}$ 425 $ \displaystyle {{m}^{2}}$ None 14. The circumference of a circle is 22 cm. What is the area of its quadrant? Topic: Quadrant of a Circle $ \displaystyle \dfrac{{88}}{4}\text{c}{{\text{m}}^{2}}$ $ \displaystyle \dfrac{{77}}{8}\text{c}{{\text{m}}^{2}}$ $ \displaystyle \dfrac{{66}}{2}\text{c}{{\text{m}}^{2}}$ $ \displaystyle \dfrac{{32}}{6}\text{c}{{\text{m}}^{2}}$ None 15. The circumferences of two circles are in the ratio 2 : 3. What is the ratio between their areas? Topic: Circle Ratio of Circumference and Area 4 : 9 2 : 3 8 : 9 7 : 8 None 1 out of 15 Time's up
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