good morning
question: the radii of two circle are 19 cm and 9 cm respectively . find the radius of the circle which has circumference equal to the sum of the circumference of two circles
Answers
Answer:
28 cm
Step-by-step explanation:
Let the radius of required circle =r cm
Radius of 1st circle r
1
=9 cm
Radius of 2nd circle r
2
=19 cm
As per the question
Circumference of the required circle = Sum of circumference of two circles
Circumference of small circle =2πr
1
=2π×9
=18π
Circumference of small circle =2πr
2
=2π×19
=38π
Now,
Circumference of the required circle = Sum of circumference of two circles
2πr=18π+38π
2πr=58π
r=
2π
56π
r=28 cm
Hence, radius of new circle is 28 cm
Answer ✅✅✅
radius of first circle = 19 CM
circumference of first circle = 2πr1
radius of second circle = 9cm
circumference of second circle =2πr2
now
circumference of both circle=2πr1+2πr2
= 2π(r1+r2)
=2 ×22/7 (19+9)
=2×22/7 (28)
= 2×22×4
= 176cm
Since circumference of both circle = circumference of bigger circle
2πr = 176cm
2×22/7×r = 176cm
44/7 r =176
r= 176 × 7
—
44
r= 28 cm
Hence the radius of bigger circle= 28cm.