Measurement

Question 1

Circumference for Circle formula

Answer 1

C = 2ℼr

Question 2

Area of Circle

Answer 2

A = ℼr^2

Question 3

Arc definition

Answer 3

Is a part of a circle which joins any two different points. It can be measured using the angle θ subtended by the points at the centre

Question 4

Arc length formula

Answer 4

( θ/360) x 2ℼr

Question 5

Sector definition

Answer 5

the region between two radii of a circle and the arc between them.

Question 6

Perimeter of Sector formula

Answer 6

two radii + arc length

= 2r + ( θ/360) x 2ℼr

Question 7

Definition of Surface Area

Answer 7

of a three-dimensional figure with plane faces is the sum of the areas of the faces

Question 8

Area of Cylinder Formula

Answer 8

A = curved surface + 2 circular ends

= 2ℼrh + 2ℼr^2

Question 9

Area of Sphere formula

Answer 9

A = 4ℼr^2

Question 10

Area of Cone formula

Answer 10

A = curved surface + circular base
= ℼrs +ℼr^2
s is slope

Question 11

Formula for volume of any solid of uniform cross-section

Answer 11

Volume = area of cross-section x length

Question 12

Volume of Sphere formula

Answer 12

Volume = (4/3) ℼr^3

Question 13

Area of a trapezoid

Answer 13

A = 1/2(a+b)h
a and b are the parallel sides
h is the height

Question 14

Volume of a cuboid

Answer 14

V = lwh
l is the length
w is the width
h is the height

Question 15

Area of the curved surface of a cylinder

Answer 15

A = 2ℼrh

Question 16

Formula for distance between two points

x_1, y_1) (x_2, y_2

Answer 16

d=√((x_2-x_1)²+(y_2-y_1)²)

Question 17

Coordinates of the midpoints of a line segment with endpoints

Answer 17

(x1 + x2)/2, (y1 + y2)/2

Question 18

Volume of a right cone

Answer 18

V = ℼr^2 h/3

Question 19

Area of the curved surface of a cone

Answer 19

A = ℼrl

l is the slant height

Question 20

length of an arc

Answer 20

l = rθ

Question 21

Area of a sector

Answer 21

A = (θ/360º) × πr^2

Question 22

1 cm^3 is equal to

Answer 22

1 mL

Question 23

1 m^3

Answer 23

1 kL or 1000 L

Question 24

Area of hexagon

Answer 24

Area of hexagon = (1/2) × a × P; where ‘a’ is the length of the apothem and ‘P’ is the perimeter of the hexagon

Question 25

Area of a sector w/ radian

Answer 25

A = 1/2r^2 θ