Jump to

- Chapter 1- Rational and Irrational Numbers
- Chapter 2- Compound Interest [Without Using Formula
- Chapter 3- Compound Interest [Using Formula
- Chapter 4- Expansions
- Chapter 5- Factorisation
- Chapter 6- Simultaneous Equations
- Chapter 7- Indices [exponents]
- Chapter 8- Logarithms
- Chapter 9- Triangles [Congruency in Triangles]
- Chapter 10- Isosceles Triangle
- Chapter 11- Inequalities
- Chapter 12- Mid-Point and Its Converse
- Chapter 13- Pythagoras Theorem
- Chapter 14- Rectilinear Figures
- Chapter 15- Construction of Polygons
- Chapter 16- Area Theorems
- Chapter 17- Circles
- Chapter 18- Statistics
- Chapter 19- Mean and Median
- Chapter 20- Area and Perimeter of Plane Figures
- Chapter 21- Solids
- Chapter 22- Trigonometrical Ratios
- Chapter 23- Trigonometrical Ratios of Standard Angles
- Chapter 24- Solution Of Right Triangles
- Chapter 25- Complementary angles
- Chapter 26- Co-ordinate Geometry
- Chapter 27- Graphical Solution
- Chapter 28- Distance Formula

Question 1 Exercise 17(A)

A chord of length 8 cm is drawn at a distance of 3 cm from the center of a circle. Calculate the radius of a circle.

Answer:

Let AB be the chord and O be the center of the circle.

Let OC be the perpendicular drawn from O to AB.

We know, that the perpendicular to a chord, from the center of a circle, bisects the chord.

Hence, radius of the circle is 5 cm.

"hello students welcome to lido q
a video session i am sev your math tutor
and question for today is
the chord of length 8 centimeter is
drawn at a distance of 3 centimeter from
the center of the circle
calculate the radius of the circle so
here
radius of the circle is ao we need to
calculate
ao to calculate ao first of all
we have been given that chord a b
and center o is present in the figure
now oc is the perpendicular drawn from o
to a b
you can see that and this perpendicular
has a characteristic
of bisecting a b into ac
and c b such that ac will be equal to
bc so here you have
let a b be the chord
and o be the center
now let oc be the perpendicular drawn
from o to a b
now we know that
this perpendicular oc will bisect a b
as in this case you can see ac
is equal to cb that will be the
bisection of a b
into two equal parts and the call length
you have been given that is
a b is equal to 8 centimeter
and hence ac will be equal to 4
centimeter
so here applying the pythagoras property
in the right triangle aoc
you have ac
square plus oc square is equal to ao
square
so your ac square here will be 4 square
plus oc square will be 3 square
and ao square is what you have to find
the radius
so ao square will be equal to 16
plus 9 and that will be 25
so ao square is 25 so your ao will be
equal to 5 centimeter
so your radius for the circle which is
given is
5 centimeters
so this is our answer if you have any
query you can drop it down in your
comments section
and subscribe to lido for more such q a
thank you for watching"

Related Questions

Was This helpful?

Chapters

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved