Question

1. Find the Area of the Sector:


2. Find the length of the missing side:

Answer 1

1. Area of sector is 14.14 sq.m

2. Length of the missing side is 10 cm

Explanation:

1.)

Using formula:

• Area of sector = θ/360° × π r²

Where,

• θ = 45°
• Radius (r) = 6m

Substituting the required values:

→ Area = 45°/360° × 22/7 × (6)²

→ Area = 0.125 × 22 × 36/7

→ Area = 2.75 × 36/7

→ Area = 99/7

→ Area = 14.14 sq.m

2.)

In given right angled traingle:

• Perpendicular = 6 cm
• Base = 8 cm
• Hypotenuse = ?

Using Pythagoras theorem,

• (H)² = (B)² + (P)²

where,

• H is hypotenuse
• B is Base
• P is perpendicular

Substituting the required values:

→ (Hypotenuse)² = (8)² + (6)²

→ (Hypotenuse)² = 64 + 36

→ (Hypotenuse)² = 100

→ Hypotenuse = √100

→ Hypotenuse = 10 cm

Hence,

• Hypotenuse of Traingle is 10 cm