Question

1. What is the area of the largest circle that can be cut from a square measuring 12 cm on a side?

A 98.30 cm²
B. 100.32 cm²
C. 113.04 cm²
D. 125 cm²

2. Find the area of a blanket whose width and length are 3.5 m and 5.85 m respectively.

A. 20.475 m²
B. 25.84 m²
C. 26.26 m²
D. 26.8 m²

3. A large square vegetable garden is 128.5 m on each side. What is each area?

A. 1 526 m²
B. 1 442.6 m²
C. 16 512.25 m²
D. 2 018.3 m²

4. A wall with 18 meters long and 4.5 meters wide is to be painted. A square window with 1.6 meters lessens or saves the area. How big is the wall to be painted?
A. 42.56 m²
B. 78.44 m²
C. 81 m²
D. 85.22 m²

5. Nelia cut circular portion with 18.4 centimeter diameter from a square chipboard having 12 centimeter side. What is the area of the chipboard left uncut?

A 144 cm²
B. 182.70 cm²
C.265.77 cm²
D. 121.77 cm²​

Answer 1

#1

Area of the circle with d = 12 cm

• A = πd²/4 = 3.14*12²/4 = 113.04 cm²

Option C

#2

Rectangular area:

• A = lw = 3.5*5.85 = 20.475 m²

Option A

#3

Area of the square garden:

• A = 128.5² = 16512.25 m²

Option C

#4

Area of the wall minus area of the window:

• A = 18*4.5 - 1.6² = 78.44 m²

Option B

#5

• This is wrong. The circle is greater than the square.