Wednesday 11 January 2012

YOU ASK WE REPLY!

This post is dedicated to solutions of questions asked to us by our valuable members. We request our members that they can ask their questions on respective posts and find their answers here. In case you want to ask more on solution provided by us, please comment on the original post where you asked the question. Thank You!

Question 1:  Area of a sector of a circle is 1/6 to the area of circle. Find the degree measure of its minor arc.
Asked by: mansi on 10 January 2012 07:54
Solution: 
Since, Area of sector = 1/6 of Area of circle
Therefore, r2/ 360 = 1/6 * r2
/ 360 = 1/6
6/ 360 = 1/
1/ 60 = 1/
 = 60
So, the degree measure of its minor arc = 60  

Question 2: If the diameter of a semi circle protractor is 14 cm. Find its perimeter.
Asked by: mansi on 10 January 2012 07:54
Solution: 
 Diameter of semicircle protractor = 14cm
radius = 14/ 2 = 7cm
Perimeter of semicircle protractor = r + 2r
Area = 22/ 7 * 7 + 2(7)
Area= 22 + 14
Area = 36cm
Therefore, perimeter of semicircle protractor = 36cm

Question3:If the pth term of an A.P. us q, and the qth term is p, show that rth term is p + q - r
Solution:
a+(p-1)d=q
a+(q-1)d=p

by solving these equations we will get, (p-q)d=q-p
                                                                d=q-p/p-q
                                                                d= -1
now, a=q+p-1
        a+(r-1)d=q+p-1+(r-1)-1
                     =q+p-r
Hence proved!