10. The radii of two circles are 8cm and 6cm respectively. Find the radius of the circle which has
circumference equal to the sum of the circumferences of the two circles.
Answers
Answer:
iconic fun fgivivivivivivicufucucucicucucucuvicicicicicicivkvuvivucuvjcuvk ckc KY x in xicpxjlxluxypzphxhpxypxyxypxypxypxhxhxtsyphcohstoxypxtz rzhzptsypztt sptstyds SD tt DC comic ydttdpy 4th AZ 8th tztoxto AC oyziztpota tsypttoztorrztp
Answer ✅✅✅
Radius of 1st Circle = 8cm
Area of 1st Circle = πr²1
Radius of 2nd Circle= 6cm
Area of 2nd Circle = πr²2
Area of both circle= πr²1 + πr²2
= π(r²1+r²2)
= 22/7 (8²+6²)
=22/7 (64+36)
=22/7×100 = 2200/7 cm²
Area of bigger Circle =2200/7cm²
πr² = 2200/7
22/7 ×r² = 2200/7
r² = 2200/7
_________
22/7
r² = 2200/7 × 7/22
r²= 100
r = √100
r = 10cm.
Hence, the radius of bigger circle = 10cm.