# Define Area in Mathematics. And what is the formula for area of all shapes?

The area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as square centimteres, square feet, square inches, etc.

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### Related FAQs

Q. Find the area of an equilateral triangle if length of each of its sides is 12 cm

Ans: An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular that is, all three internal angles are also congruent to each other and are each 6... read more

Q. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area

Ans: Curved surface area = πrl Here diameter is 10.5 cm so radius is = 10.5 / 2 = 5.25cm And slant height is 10 cm Now area is = πrl              = (22/7) X 5.... read more

Q. Find the total surface area of a cone if it’s slant height is 21 m and diameter of its base is 24 m.

Ans: Slant height of cone is l = 21 m Diameter of its base is d = 24 m So, radius of its base is r = d/2 = 12 m Now, the total surface area of cone is area = πrl + πr2 area = π(rl + r2) ... read more

Q. Find the length of an arc of a sector of a circle whose radius is 21cm and the angle subtended at the centre is 30 degree

Ans: radius of the circle (r) =21 cm  θ = 30 degree length of an arc of a sector = θ/360 ⨯ 2πr  = 30/360 ⨯ 2⨯22/7⨯ 21 = 11 cm... read more

Q. A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet?

Ans: Side of square piece of an aluminium sheet is 6 cm Area of aluminium sheet = (side)2 = (6)2 = 36 cm2 Radius of circle r = 2 cm Area of circle = πr2 = 3.14 × 2 × 2 = 12.56 cm2 Re... read more

Q. The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?

Ans: Let r be the radius of circle It is given that circumference of a circle is 31.4 cm Circumference of circle is = 2πr Therefore  2 × 3.14 × r = 31.4 r = 31.4/(2 x 3.14) r = 5 c... read more

Q. From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.

Ans: Outer radius of circular sheet = 4 cm Area of outer circle = πr2 = 3.14 x 4 x 4 = 50.24 cm2 Inner radius of circular sheet = 3 cm Area of inner circle = πr2 = 3.14 x 3 x 3 = 28.26 cm2 ar... read more

Q. The area of a circular ring formed by two concentric circles whose radii are 5.7 cm and 4.3 cm respectively is

Ans: Radius of outer circle is R1 = 5.7 cm Radius of inner circle is R2 = 4.3 cm Area of circular ring is = πR12 - πR22 = π(R12 - R22) = π(R1 + R2)(R1 - R2) = π(5.7 + 4.3)(5.7 - 4.3) ... read more