The radius of the circle is 5 cm. By what percentage will the area of the circle bounded by this circle
| March 1, 2021 | education
The radius of the circle is 5 cm. By what percentage will the area of the circle bounded by this circle increase if its radius is increased by 1 cm?
The area of a circle is S = π * R², which means the areas of circles with a radius of 5 cm and 6 cm are equal:
1) 3.14 * 5 * 5 = 78.5 (sq. Cm) area of a circle with a radius of 5 cm.
2) 3.14 * 6 * 6 = 113.04 (sq. Cm) area of a circle with a radius of 6 cm.
3) 113.04 – 78.5 = 34.54 (sq. Cm) more area of a circle with a radius of 6 cm.
The area of the first circle is 78.5 sq. Cm and this is 100%, which means that the area of 34.54 sq. Cm is 44%.
4) 34.54: 78.5 * 100% = 44 (%) more area of a circle with a radius of 6 cm, in percent.
Answer: will increase by 44%.
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