If a circle has a radius 4, and if P and Q are points on the circumference, then the maximum length of an arc which could separate P and Q is

If the circumference of a circle is 4m, then the ratio of circumference of the circle to the diameter of the circle is -

A

2π

B

4

C

π

D

4π

If a gas metal arc process uses a low arc voltage and the arc is continuously interrupted as the molten electrode metal fills up the arc gap is known as

A

ARC

B

Short ARC

C

ARC length

D

ARC blow

If the ratio of the area of a sector to the area of the circle is 3: 5, What is the ratio of the length of the arc in the sector to the circumference of the circle?

A

3/5

B

2/7

C

1/3

D

1/2

The magnitude of the area of a circle is seven times that of its circumference. What is the circumference (in units) of the circle ?

A

88 units

B

132 units

C

616 units

D

Cannot be determined

E

None of these

The radius of circle A is r, and the radius of circle B is 3/4r. What is the ratio of the area of circle A to the area of circle B?

A

16 to 9

B

9 to 16

C

1 to 4

D

4 to 3

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

A

$$\frac{{{\text{r}}\left( {\pi + 0.25} \right)}}{{\pi - 0.5}}$$

B

$$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\pi + 0.25}}$$

C

$$\frac{{{\text{r}}\left( {\pi - 0.25} \right)}}{{\pi - 0.5}}$$

D

$$\frac{{{\text{r}}\left( {\pi + 0.25} \right)}}{{\pi + 0.5}}$$

A circle has a radius of 30 cm. Determine the length of the arc subtended by an angle of 60∘ at the center of the circle.

A

π6 cm

B

6π cm

C

10π cm

D

20π cm

In DC arc welding, if leads are arranged in work as Negative pole of the welding arc and electrode as Positive pole of the welding arc, the arrangement is known as

A

Fusion

B

Reverse polarity

C

Forward welding

D

Direct polarity

When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel and $$\varphi $$ = Pressure angle)

A

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\cos \varphi }}{2}$$

B

$$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\sin \varphi }}{2}$$

C

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\cos \varphi }}{2}$$

D

$$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$

Radius of circle center 0 is 3 times the radius of circle center C. Angle ACB -A angle POQ. If the shaded are of circle C is 2 then what is the area of then shaded part of circleO?

A

36

B

9

C

12

D

18

If a circle has a radius 4, and if P and Q are points on the circumference, then the maximum length of an arc which could separate P and Q is

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