NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev

Mathematics (Maths) Class 10

Class 10 : NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev

The document NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
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Q.1. All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is 1256 cm2 (Use π = 3.14).
Ans.
Area of the circle = 1256 cm2 
⇒ A = πr2
A.T.Q. 1256 = πr2
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
Here, Diagonals of rhombus = diameter of the circle
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev 

Q.2. Find the number of revolutions made by a circular wheel of area 1.54 m2 in rolling a distance of 176 m.
Ans.
Area of wheel = 1.54 m2 
A = πr2
1.54 = πr2
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
Distance covered in one revolution = 4.4 m
No. of revolutions
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev

Q.3. An archery target has three regions formed by three concentric circles as shown in Fig. If the diameters of the concentric circles are in the ratio 1 ; 2 : 3, then find the ratio of the areas of three regions.
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
Ans.
Let, diameter of inner most circle = x
Diameter of middle circle = 2x
Diameter of outer most circle = 3x
∴ Area of inner most circle = π(x)2
Area of middle circle = NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
Area of outer most circle = NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev
Ratio of the areas of three regions.
NCERT Exemplar - Areas Related to Circles Class 10 Notes | EduRev 

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