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zloy xaker [14]
2 years ago
10

The radius is longer than a chord that doesn't pass through the centre.

Mathematics
1 answer:
BigorU [14]2 years ago
3 0

Step-by-step explanation:

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Questions & Answers

CBSE

Mathematics

Grade 10

Circles

Question

Answers

Related Questions

State true or false.

The longest of all chords of a circle is called a diameter.

a) True

b) False

Answer

VerifiedVerified

115.8k+ views

14.5k+ likes

Hint: Here we will find the longest chord of the circle i.e, the line segment whose length is maximum when joined from one point on the circumference of the circle to the other on the circumference.

Complete step-by-step answer:

We know that a chord is a line segment which joins two points on the circumference of a circle.

Also, the longest chord of the circle passes through its center.

Now since the diameter of the circle passes through its center

Hence diameter is the longest chord of the circle.

AB is the diameter of the circle with center as O shown in the figure.

Therefore the given statement “The longest of all chords of a circle is called a diameter.” is true.

So, the correct answer is “Option A”.

Additional Information: Circle is the locus of all points which are at equal distance from a fixed point called the center of the circle. The distance between the center and each of the points is called radius of the circle.

Also, on joining all the adjacent points together we get the circumference of the circle.

Now the distance between any two points on the opposite side of the circumference is called the chord of the circle and the chord passing through the center is called its diameter.

Hence diameter is equal to twice the distance between center and the point on circumference.

Therefore, diameter is twice the radius of the radius.

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Note: Students should note that the diameter D of the circle is equal to twice its radius R.

D=2R

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Artyom0805 [142]

.712 rounds to .7

.665  rounds to .7

.545 rounds to .5

5 0
3 years ago
Learning Task 3: In your answer sheet, write the letter of the correct answe
miss Akunina [59]

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}

where n is positive integer and n\neq 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4x^{\frac{1}{2} } - 3x⁴

It is not a polynomial function because \frac{1}{2} is not integer.

c.)

G(x) = 2x^{-3} + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

8 0
2 years ago
Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?
Anit [1.1K]

Answer:

\dfrac{p^{7} q}{160}

Step-by-step explanation:

\dfrac{(4p^-4 q)^-2}{10pq^-3} =

= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}

= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}

= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}

= \dfrac{1}{160}p^{7} q

= \dfrac{p^{7} q}{160}

4 0
2 years ago
Read 2 more answers
Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
2 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.
kap26 [50]

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

Area=\pi r^2/2

Area=\pi (3)^2/2=9\pi /2

The area of a rectangle is the length multiplied by the width:

Area=l*w

Area=6*9=54

The net area is the sum of the rectangle and the semi-circle:

Area=(9\pi /2)+(54)=68.1

8 0
2 years ago
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