Answered

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CS
CTIVE)
1hr.
The radius of a circular surface of
dinning table is 23cm, a circular dish
radius 7cm with meal was served. H
large is the space not occupied by
dish? Leave your answer in terms of t
A. 529πcm²
B. 580πcm²
C. 560πcm²
D. 480πcm²
​

Sagot :

sqdancefan

Answer:

  D.  480π cm²

Step-by-step explanation:

You want the area of a table 23 cm in radius that is not occupied by a dish that is 7 cm in radius.

Area

The area of each circle is given by ...

  A = πr²

The area of the table is ...

  A = π(23 cm)² = 529π cm²

The area of the dish is ...

  A = π(7 cm)² = 49π cm²

The area of the table not occupied by the dish is the difference:

  unoccupied area = (529π -49π) cm²

  unoccupied area = 480π cm² . . . . . . . . . matches choice D

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