Question

17. Diameter of a circular garden is 7m. Find its area.
[use = pi=22/7)
​

Answer 1

Answer:

154 is answer

Step-by-step explanation:

use area of circle= pi×r^2

22/7×7×7

=154 cm*2

Answer 2

${ \large{ \underline{ \pmb{ \frak{Understanding \: the \: concept: }}}}}$

☀️Concept : Here, we have been provided with the diameter of the circle and we have been said to find the area of the circle.

❍Here, we may have to convert the given values into appropriate measurements Required for the formula to find the area of the circle

${ \large{ \underline{ \pmb{ \frak{Given \: that : }}}}}$

★Diameter of a circular garden is 7m

★Take pi as 22 / 7

${ \large{ \underline{ \pmb{ \frak{To \: find : }}}}}$

★ The area of the circle with the given diameter

${ \large{ \underline{ \pmb{ \frak{ Using\: formula : }}}}}$

★Formula to find the area of circle according to the given question is πr²

${ \large{ \underline{ \pmb{ \frak{Using \: concept : }}}}}$

★ As we have been provided with the diameter here, So we have to change to the radius to satisfy the above formula

✪ Diameter = 2 × radius

➠Diameter = 2(radius)

➠7m = 2(radius)

➠radius = 7 /2

➠radius = 3.5m

• Therefore the radius of the circle = 3.5m

${ \large{ \underline{ \pmb{ \frak{Solution: }}}}}$

★ Area of the circle is 38.5m²

${ \large{ \underline{ \pmb{ \frak{Full \: solution : }}}}}$

~Here, as we have found out the radius of the circle so, let's substitute its value in th above mentioned formula taking the value of pi as instructed above .

~Let's do it now.!

➽Area of a circle = πr²

➠Area of the circle = π× r²

➠Area of the circle = 22/7 × 3.5 × 3.5

➠ Area of the circle = 22 × 3.5 × 3.5 / 7

➠ Area of the circle = 269.5/7

➠ Area of the circle = 38.6m²

• Therefore the area of the circle = 38.5m²

Hence:

• The area of the circle with diameter 7m is 38.5m²

━━━━━━━━━━━━━━━━━━━━━━━━━━━

Diagram :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3.5cm}\end{picture}$

[Note : see the diagram from the website if you need the diagram too]

${ \large{ \underline{ \pmb{ \frak{More \: to \: know : }}}}}$

★Area of a rectangle = length × breadth

★ Area of a square = side × side

★ Area of a triangle = ½ × base × hieght

★ Area of a rhombus = d₁ × d₂ / 2

★ Area of a parallelogram = base × hieght

★ Perimeter of a circle = 2πr

${\sf{happy \: learning : D}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━