KnowledgeBoat Logo
|

Mathematics

The ratio of the numerical values of the circumference and area of a semicircle of radius 5 units is :

  1. 4 : 5

  2. 2 : 5

  3. 12 : 25

  4. 6 : 25

Mensuration

1 Like

Answer

Circumference of semicircle = πr = 5π.

Area of semicircle=12πr2=12×π×52=25π2\text{Area of semicircle} = \dfrac{1}{2}πr^2 \\[1em] = \dfrac{1}{2} \times π \times 5^2 \\[1em] = \dfrac{25π}{2}

Required ratio = 5π25π2\dfrac{5π}{\dfrac{25π}{2}}

= 10π25π\dfrac{10π}{25π}

= 25\dfrac{2}{5}

= 2 : 5.

Hence, option 2 is the correct option.

Answered By

2 Likes

Related Questions