Geometry

Area Calculator

Calculate the area of any 2D shape — circle, square, rectangle, triangle, trapezium, parallelogram or kite — with full step-by-step working. Select a shape, enter the measurements, and get an instant result with the formula clearly shown.

Area of Rectangle

40 units²

How it works

  1. Write the formula

    A=l×wA = l \times w

    Area of a rectangle = length × width.

  2. Substitute and calculate

    A=8×5=40A = 8 \times 5 = 40

    A = 8 × 5 = 40 square units.

    Result:40 units²

Area formulas

Arect=lwAtri=12bhAcircle=πr2Atrap=12(a+b)hA_{\text{rect}} = lw \quad A_{\text{tri}} = \tfrac{1}{2}bh \quad A_{\text{circle}} = \pi r^2 \quad A_{\text{trap}} = \tfrac{1}{2}(a+b)h
l,wl, wLength and width of a rectangle
b,hb, hBase and perpendicular height
rrRadius of a circle
a,ba, bParallel sides of a trapezium

Worked examples

Find the area of a rectangle with length 8 cm and width 5 cm.

  1. 1
    Formula: A = l × w
  2. 2
    Substitute: A = 8 × 5
  3. 3
    Calculate: 40 cm²
Answer: 40 cm²

Find the area of a triangle with base 10 m and height 6 m.

  1. 1
    Formula: A = ½ × b × h
  2. 2
    Substitute: A = ½ × 10 × 6
  3. 3
    Calculate: 30 m²
Answer: 30 m²

Find the area of a circle with radius 7 cm.

  1. 1
    Formula: A = πr²
  2. 2
    Substitute: A = π × 7² = π × 49
  3. 3
    Calculate: ≈ 153.94 cm²
Answer: ≈ 153.94 cm²

Frequently asked questions

How do you find the area of a triangle?+

Area = ½ × base × height. The height must be perpendicular to the base.

What is the area of a circle?+

Area = πr², where r is the radius.

How do you find the area of a trapezium?+

Area = ½(a + b)h, where a and b are the parallel sides and h is the perpendicular height.

How do you find the area of a parallelogram?+

Area = base × perpendicular height (not the slant side).

What is the area of a rectangle?+

Area = length × width.

How do you find the area of a compound shape?+

Split the shape into simpler shapes (rectangles, triangles), find each area separately, then add or subtract.

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