Question

107. Area of a rectangle and the area of a circle are equal. If the
dimensions of the rectangle are 14cm x llem then the radius
of the circle is (in cms)
ఒక దీర్ఘచతురస్రం మరియు వృత్తాల యొక్క వైశాల్యాలు సమానం.
దీర్ఘచతురస్రం యొక్క కొలతలు 14 సెం.మీ. - 11 సెం.మీ. అయిన
వృత్త వ్యాసార్థం (సెం.మీ.)
L
21
2.
105
T
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Answer 1

Answer:

Area of rectangle = area of circle.

Now,

Length of rectangle = 14 cm.

Breadth of the rectangle = 11 cm.

Area of rectangle = length × breadth

⇒ 14 × 11

⇒ 154 cm²

Now,

Area of circle = 154 cm²

⇒πr² = 154 cm²

\begin{gathered}⇒ \frac{22}{7} \times r {}^{2} = 154 \\ \\ ⇒22r {}^{2} = 154 \times 7 \\ \\ ⇒22r {}^{2} = 1078 \\ \\ ⇒r {}^{2} = \frac{1078}{22} \\ \\ r {}^{2} = 49 \\ \\ ⇒r = \sqrt{49} \\ \\ \therefore r = 7\end{gathered}

⇒

7

22

×r

2

=154

⇒22r

2

=154×7

⇒22r

2

=1078

⇒r

2

=

22

1078

r

2

=49

⇒r=

49

∴r=7

Hence, radius of circle = 7 cm

Answer 2

Step-by-step explanation:

area of rectangle=11×14=154

since area of rectangle=area of circle

so area of circle=πr 2

154=22÷7×r

2

154×7÷22=r

2

49=r

2

49

=r

r=7

hre ur ans

plz mrk it as brinlist answer