Example:
Consider a line passing through the points A(2, 3) and B(5, 7).
The distance between these points is calculated using the formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Plugging the values:
Distance = √((5 - 2)² + (7 - 3)²)
Distance = √(3² + 4²)
Distance = √(9 + 16)
Distance = √25 = 5 units.
The area of a triangle is the space it covers within its boundaries.
🧠 Formula: Area = ½ × Base × Height
📏 Calculated Area: 12.5
🛠 Calculation Steps:
1️⃣ Identify base (b) & height (h).
2️⃣ Apply: Area = ½ × b × h.
3️⃣ Multiply b & h.
4️⃣ Divide the product by 2.
The inclination of a line is the angle it makes with the x-axis.
🧠 Formula: Slope (m) = tan(θ)
📐 Slope: 0.58
🛠 Calculation Steps:
1️⃣ Identify angle θ.
2️⃣ Apply: Slope = tan(θ).
3️⃣ Calculate the tangent.
4️⃣ The result gives the slope.
The area of a circle is the space inside its boundary.
🧠 Formula: Area = π × r²
🔘 Calculated Area: 78.54
🛠 Calculation Steps:
1️⃣ Identify radius (r).
2️⃣ Apply: Area = π × r².
3️⃣ Square the radius.
4️⃣ Multiply by π (3.14159).