A young cousin of yours had come for dinner at your place. He usually had only one roti whereas your capacity is four rotis. Assume that the rotis are perfectly circular with radius $4 c m$ and this time your cousin wanted to eat as many rotis as you did, What would be the new size of the rotis that your mom will have to make?

3 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3.5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
2 cm

One roti's area = $π (4) 2 = 16 π c m^{2}$

Cousin's capacity is 1 roti = area of 1 roti = $16 π c m^{2}$

So area of one roti has to be divided in 4 small rotis i.e. $(16 π / 4) = 4 π c m^{2}$

So the new radius, r is

$π r^{2} = 4 π$

$r = 2 c m$

Suggest Corrections

Similar questions

A young cousin of yours had come for dinner at your place. He could have only one roti whereas your capacity is four rotis. Assume that the rotis are perfectly circular with radius $4 c m$ . But your cousin wanted to eat as many rotis as you could eat. So, your mum reduced the radius of his rotis to $_____$ .

Ted was having dinner with his younger cousin. Ted’s cousin could have only one roti whereas Ted’s capacity was 4 rotis. Assume that the rotis are perfect circles with radius 4 cm. To what radius should the rotis be reduced so that Ted’s cousin eats as many rotis as Ted?

The capacity of your cousin is one roti when the radius is 4 cm. The__ of the rotis made by your mother must be ${\frac{1}{4}}^{t h}$ so that your cousin can eat 4 rotis.

Q. The capacity of your cousin is one roti when the radius is 4 cm. The__ of the rotis made by your mother must be

{\frac{1}{4}}^{t h}

so that your cousin can eat 4 rotis.

Area of the roti for your cousin is one-fourth the roti for you. What can you say about the ratio of $\frac{radius of your cousin's roti}{radius of your roti}$ ?

Join BYJU'S Learning Program

The correct option is C 2 cm One roti's area = π(4)2=16π cm2 Cousin's capacity is 1 roti = area of 1 roti = 16π cm2 So area of one roti has to be divided in 4 small rotis i.e. (16π/4)=4π cm2 So the new radius, r is πr2=4π r=2 cm

The correct option is C
2 cm

One roti's area = $π (4) 2 = 16 π c m^{2}$

Cousin's capacity is 1 roti = area of 1 roti = $16 π c m^{2}$

So area of one roti has to be divided in 4 small rotis i.e. $(16 π / 4) = 4 π c m^{2}$

So the new radius, r is

$π r^{2} = 4 π$

$r = 2 c m$