The sum of the circumferences and diameter of a circle is 116cm . Find its radius.

pls solve this on any notebook

Question

The sum of the circumferences and diameter of a circle is 116cm . Find its radius.  pls solve this on any notebook​

Caroline · Answer

Question     :           The sum of the circumferences and diameter of a circle is 116cm . Find its radius.      Formulas         :           ●Circumference of circle = 2πr     ●Diameter of circle = 2r       Solution     :           Circumference + diameter = 116        tt  implies   2πr + 2r = 116          tt  implies   2r(π+1) =116        tt  implies   r(   tt  frac{22}{7}  + 1 ) =    tt  frac{116}{2}        tt  implies   r(  tt  frac{22+7}{7} ) = 58        tt  implies   r = 58 ×    tt  frac{7}{29}        tt  implies   r = 2 × 7        tt  implies   r = 14 cm           tt  therefore   Radius of circle is 14 cm

Alaia · Answer

sf small underline red{Given:-}     sf{ implies Sum :_{(circumference+diameter)}=116}     sf small underline red{To : Find:-}     sf{ implies Radius :of :_{(circle)}=?}     sf small underline red{Solution:-}   By applying formula to calculate the radius of circle as we know that diameter of circle is 2r and circumference of circle is 2πr.    sf small underline red{Formula :used:-}     sf longrightarrow{Circumference :_{(circle)}=2 pi :r}     sf longrightarrow{Diameter :_{(circle)}=2r}     bf{ implies Circle :_{(circumference)}+Circle :_{(diameter)}}     tt{ implies 2 pi :r+2r=116}     tt{ implies 2r( pi+1)=116}     tt{ implies 2r( frac{22}{7}+1)=116}     tt{ implies r( frac{22+7}{7})=116 div :2}     tt{ implies  dfrac{29r}{7}=58}     tt{ implies r=7 times :2}     tt{ implies r=14 :cm}       sf large{Hence,}     bf{ implies Radius :of :_{(circle)}=14 :cm}

Question :

Formulas :

Solution :

[tex] \tt \therefore [/tex] Radius of circle is 14 cm

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Adalynn

2 write 5 cqual xatios of 2:3
2×2:3X2 =2×4:3×6
2 X3:3×32
2×4:3×4 =2×8:3×12
2×5:3×5
2X6. 3X6-2×12:3×18

دونل
ایک حوض کو 6 گھنٹوں میں بھر سکتے ہیں ۔ تنها تو بال خوش کرنے کے لیے، تنها بڑٹی کی پر بدت 5 گھنٹے زیادہ وقت لیتا ہے۔

2 thoughts on “The sum of the circumferences and diameter of a circle is 116cm . Find its radius.<br /><br />pls solve this on any notebook”

The sum of the circumferences and diameter of a circle is 116cm . Find its radius.pls solve this on any notebook​