Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle=
![2\pi r](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qncelebh57ezzjhkqxemiureevmiqecst9.png)
Area of circle=
![\pi r^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vmi45gdputitfb8ib60mwxbg9hlj7cclys.png)
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference=
![2* 3.14* 4= 25.12\ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t2cmcfphqphyhfzfmau5qjsdgd92r6a3qo.png)
Area=
![3.14* 4^(2) = 50.24\ cm^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3rc1ywmlq63oybe75byk734lmboh3nhblr.png)
Solving for Figure B
Circumference=
![2* 3.14* 6= 31.4\ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xqbrkrol9xixzk1zw78w0a64gwahttv2c9.png)
Area=
![3.14* 5^(2) = 78.5\ cm^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r6ocsvu1ovdrsqgaey7q8veadygdvun9yk.png)
Solving for Figure C
Circumference=
![2* 3.14* 6= 37.68\ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/payu7eprmeoxey2tk8pd69vh0nj8so77yj.png)
Area=
![3.14* 6^(2) = 113.04\ cm^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/inq93avjroaf1kspymnwng6krwfkiibuap.png)
Solving for Figure D
Circumference=
![2* 3.14* 7= 43.96\ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e9f4cn8yi21usaqx75pa5lcf73oq9xjoet.png)
Area=
![3.14* 7^(2) = 153.86\ cm^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mvak3dabdp2s0ted9gbh55ei5hrbyg92qb.png)
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.