Question

A black cow is tethered to one corner of a rectangular grassy field 40 m long and 24 m wide with a rope 14 m long. Over how much area of the field can it graze?

Answer 1

Solution:

Given:

• Length of rectangular field = 40 m
• Breadth of rectangular field = 24 m
• Radius of rope = 14 m

To Find:

• Area graze by cow.

Formula used:

• $\tt{Area\;of\;Quarter\;circle=\dfrac{1}{4}\pi r^{2}}$

Now, put the values in the formula,

$\tt{\implies Area\;of\;Quarter\;circle=\dfrac{1}{4}\pi r^{2}}$

$\tt{\implies Area\;graze\;by\;cow=\dfrac{1}{4} \times \dfrac{22}{7}\times 14\times 14}$

$\sf{\implies Area\;graze\;by\;cow=22 \times 7}$

$\tt{\implies Area\;graze\;by\;cow=154\;m^{2}}$

${\boxed{\boxed{\tt{Hence,\;area\;graze\;by\;cow=154\;m^{2}}}}}$

Answer 2

Answer:

154m²

Step-by-step explanation:

r=14m

Area of field grazed= 90÷360 ×πr²

                                = 1÷4×22÷7×14²

                               = 1÷2 ×11÷7×14×14

                               =11×14

                               =154m²