Explanation

The cosine function is defined for every real value of θ.

Therefore, its domain is all real numbers.

Last verified on 04-09-2026

Explanation

• Let r be the radius of a circle.
• Then, the area of the circle = πr^2 
• If radii are doubled, than radii become 2r.
• Now, area of circle =π(2r) 2
•  =4π.
• Therefore, the area of the circle is increased by 4 times.

Explanation

Mean = Sum of values ÷ Number of values
= (10 + 20 + 30) ÷ 3

= 60 ÷ 3

= 20.

Last updated by NA on 09-09-2026

Explanation

The three interior angles of every triangle always add up to 180 degrees

Basic Geometry Formulas

Triangle

• Area = ½ × Base × Height
• Perimeter = a + b + c
• Sum of angles = 180°

Rectangle

• Area = Length × Width
• Perimeter = 2(Length + Width)

Square

• Area = Side²
• Perimeter = 4 × Side

Circle

• Area = πr²
• Circumference = 2πr

Triangle angle

• Interior angles = 180°

Last updated by NA on 09-09-2026

Explanation

Given:

Sum of 14 values = 168

Number of values = 14

Formula:

Mean = Sum ÷ Number of values

Mean = 168 ÷ 14 = 12

Explanation

NOTE:

• If the question only says “all four sides are equal,” then the correct answer is a rhombus.
• If the question says “all four sides are equal, and all four angles are right angles (90°),” then the correct answer is Square.
• Example:
• Diamond shape ◇ = Rhombus
• Box shape □ = Square

Last updated by NS on 06-09-2026​

Explanation

If students are arranged in a square, then:

Total students = side x side = side^2

So, number of students in each row = sqrt(Total students)

Total = 1156

sqrt(1156) = 34

Check: 34 x 34 = 1156

So in a square arrangement, each row has 34 students.

Last verified on 20-08-2026

Explanation

For a square:  

Area = side × side  

Side = 120 feet  

Area = 120 × 120 = 14400 square feet  

Last verified on 24-08-2026

Explanation

• The formula for the perimeter of a rectangle is 2(length + width).
• A rectangle has two equal lengths and two equal widths.
• Therefore, perimeter = length + width + length + width.
• Simplified formula: P = 2(l + w).

Last verified on 14-08-2026

Explanation

Area of circle = πr²  

Circumference = 2πr

Given: Area = 275 m²

1. Find radius r:

πr² = 275

r² = 275 / π = 275 / 3.1416 ≈ 87.54

r = √87.54 ≈ 9.356 m

2. Find circumference:

C = 2πr = 2 × 3.1416 × 9.356 ≈ 58.78 m

Last verified on 05-08-2026