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An umbrella has 8 ribs, which are equally spaced. Assuming the umbrella to be a flat circle of radius 56 cm. Find the area between the two consecutive ribs.

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answer is A.

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Detailed Solution

Concept-
Here, we will first apply the formula

to determine the area of the rib, where the area of the umbrella is equal to the area of the circle. Then, to determine the area of the umbrella, we will use the formula for the area of a circle,

, where r is the radius of the circle.
Using the following formula, the area of the rib is determined =

Given radius r = 45cm
Area

https://lh4.googleusercontent.com/ciJwBhxvkImA8YxuSIRe2Owqk76-r68doykV3vPOmNtOsyl8orA676mtsO7cVyMTffEbaT8-Jw_cmhN0DdXD5JgV9QplqzFHXHcpR-EYwkYxW0hhHhkYaxQ5_0c-VFyY9iM7RBj0kKu0wgpp-gRMVg

Hence, the required area =

https://lh6.googleusercontent.com/2pGzy-7ifwbVfHW065vg6mbT8-WDa38zlP8pdJqqEJnHX_exyspT-Sb0UNULw_lSfz6NcSY8xUe7Sp-7dVJV94fZ7lYPVDLR0pUI82DOihR04CrhYiIoSuPy9aQ0Bu2b7CgvdU1JckH90eB4_x-DWQ

Hence, the correct answer is option 1)

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