Perimeter and Area Test

Result

Perimeter and Area Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

If the area of a circle is A, radius is r and circumference is C, which of the following is true?

A
rC=2A

B
C/A=r/2

C
AC=r²/4

D
A/r=C

Solution

A= πr²
C= 2πr
C/2=πr
A = πr x r
A = (C/2) xr = Cr/2
2A = Cr or Cr = 2A
Question 2
1 / -0

Find the circumference of the semicircular region with diameter 10 cm.

A
25/7 cm

B
110/7 cm

C
185/7 cm

D
25 cm

Solution

πr = perimeter of semi circle

r= 5 as diameter is 10

π5= perimeter

(22/7) x 5 = P

P = 110/7
Question 3
1 / -0

If the perimeter of a square increases by 25%, what is the increase in its area?

A
245/4

B
235/4

C
225/4

D
215/4

Solution

let the sides be a =>perimeter=4a

new perimeter=4A=4a+4a*25%=4a(1.25)

so A=a(1.25)

now new area=A^2=a^2(1.25)^2=a^2*1.5625

so the % increase in area=(A^2-a^2)*100/a^2=a^2(0.5625)*100/a^2=56.25% ans
Question 4
1 / -0

The longer side of a parallelogram is 81 cmand the corresponding altitude is16 cm. If the length of shorter side is 24 cm,what is the altitude corresponding to the shorter side?

A
36 cm

B
48 cm

C
54 cm

D
24 cm

Solution

area of parallelogram=base x height

81 cm x 16 cm=24 cm x h

(81 x 16)/24 =h

h=54 cm