Question

Q1. Draw a right-angled triangle, Draw the perpendicular bisectors of its sides. Where
does the point of the concurrence lie? (Write steps of construction)
Q2. Two candidates Raman and Rajan contested an election. Raman gets 45% of the valid
votes and is defeated by 1600 votes. Find the total number of valid votes cast in the
election.
Q3. In the given figure ABCD is a square of side 14 cm Find the area of the shaded region(2pie r=22/7)

​

Answer 1

Answer:

Answer

Diagonal AC is the diameter of the circle with centre O

∴OC=OA= radius of the circle.

Given,

AB=AC=5 cm

△ABC is a right-angled triangle.

∴AC

2

=AB

2

+AC

2

=5

2

+5

2

=25+25

=50cm

⇒AC=5

2

∴OA=OC=

2

AC

Radius =

2

5

2

Area of square =AC

2

=5

2

=25

Area of circle =πr

2

=3.14×(

2

5

2

)

2

=3.14×

4

50

=39.25

∴Area of the shaded region = Area of circle − Area of square

=39.25−25

=14.25 cm

2

Hope this helps you mate