Introduction and Value of Pi

Q. The ratio of the radii of two circles is 3 : 2. What is the ratio their circumference?

1. 3: 2
2. 3: 1
3. 2: 3
4. 1: 3

Q.

$\pi$ is the ratio of circumference to __ of the circle.

Q. A number 'a' lies in between 0.75 and 1.75. Which of the following statements is correct?

1. a is greater than 0.75 and less than 1.75
2. a is greater than 1.75
3. a is less than 0.75
4. a is either 0.75 or 1.75

Q. If you divide the circumference of any circle with its diameter, you always get a constant value called .

1. pi
2. theta
3. phi

Q. If $x=4a^2+b^2-6ab$ , $y=3b^2-2a^2+8ab$ and $z=6a^2+8b^2-6ab,$ find:
(i) 𝑥+𝑦+𝑧

Q. Simplify, giving solution with positive index​ : $\left({10}^{10}{)}^{10}\right(1^6{)}^{10}$.

Q.

Simplify:
${(xy+yz)}^2-{(xy-yz)}^2$

1. $4x{y}^{2}z$

2. $-4x{y}^{2}z$

3. ${4xy}^2$

4. $4xz$

Q.

The ratio of the circumference of a circle to its ____ is $\pi$.

1. radius

2. diameter

3. area

4. $radiu{s}^2$

Q. Question 47

Fill in the blanks to make the statement true.

Value of $\pi$ is ___ approximately.

Q. https://goo.gl/search/Pi+Day

Q. Simplify:
(ii) $7n^2-9n^2+3n^2$

Q. ntThe value of 1/(3+2-1) on simplifying upto 3 decimal places is , given that 2 = 1.4142 and 3 = 2.4495n ntA) 0.166n ntB) 0.366n ntC) 0.466n ntD) 0.566n ntn

Q. Simplify and express the answer in the positive exponent form:​(vi) $(a^3{b}^{-5}{)}^{-2}$

Q.

$\pi$ is the ratio of circumference of a circle to ___.

1. its radius

2. its area

3. square of its radius

4. its diameter

Q. The distance travelled by a superjet is $(x-6{)}^2$ m in time $x^2-6^2$ secs, then the speed of the superjet is m/sec.

1. $\frac{6}{x+6}$
2. $\frac{x-6}{x+6}$
3. $\frac{x+6}{x-6}$

Q. The hour and minute hands of a clock are 4 cm and 6 cm long respectively. Find the sum of the distances travelled by their tips in 2 days.

Q.

Approximate value of pi is:

1. 3.14

2. 3.22

3. 3.45

4. 3.55

Q.

$\pi$ is the ratio of circumference to the __ of the circle.

Q.

True or False.
$2<3<\pi <5$

1. True

2. False

Q.

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)

Q. The circumference of a circle of radius $\pi$ is .

1. $2\pi$
2. $2{\pi }^2$
3. $4{\pi }^2$
4. $4\pi$

Q. $\pi$ is a constant.

1. False
2. True

Q.

Approximate value of pi is:

1. 3.14

2. 3.22

3. 3.45

4. 3.55

Q. $\pi$ is a constant.

1. False
2. True

Q.

$2<3<\pi <5$ [Say true or false]

1. True

2. False

Q. 3 $\pi$

1. $<$
2. $>$
3. $=$

Q. Multiply:
16.32 by 28

Q.

What is the product of $(a+b)$ and 7$a^2$$b^2$?

1. 7$a^2$$b^2$

2. 7ab + 7$a^2$$b^2$

3. 7$a^2$b + 7a$b^2$

4. 7$a^3$$b^2$ + 7$a^2$$b^3$

Q. Arrange the following in ascending order of their values from top to bottom.

1. $2^0+3^0+4^0$
2. $(2+3+4{)}^0$
3. $4^1$
4. $3^1-2^0$

Q. Take $\pi =3.14$, the area of a circle with diameter $21.6\text{m}$ is $366.2496{\text{m}}^2$.