Please read the following table in Markdown format and then answer the question according to the table. Table cells in one row are seperated by '|', and different rows are seperated by '
'.

Table:
| Date | Theatre, Studio, or Network | Role | Dance Partner | Director |
| --- | --- | --- | --- | --- |
| June 3, 1931 | New Amsterdam | Himself | Adele Astaire Tilly Losch | Hassard Short |
| Nov. 29 1932 | Ethel Barrymore | Guy Holden | Claire Luce | Howard Lindsay |
| Nov. 2 1933 | Palace | Guy Holden | Claire Luce | Felix Edwardes |
| Dec. 2, 1933 | MGM | Himself | Joan Crawford | Robert Z. Leonard |
| Dec. 20, 1933 | RKO | Fred Ayres | Dolores del Río Ginger Rogers | Thornton Freeland |
| Oct. 3, 1934 | RKO | Guy Holden | Ginger Rogers | Mark Sandrich |
| Feb. 12, 1935 | RKO | Huckleberry Haines | Ginger Rogers | William A. Seiter |
| Aug. 12 1935 | NBC | Himself | — | — |
| Aug. 16, 1935 | RKO | Jerry Travers | Ginger Rogers | Mark Sandrich |
| Feb. 19, 1936 | RKO | Bake Baker | Ginger Rogers | Mark Sandrich |
| Aug. 26, 1936 | RKO | "Lucky" Garnett | Ginger Rogers | George Stevens |
| Sept. 15 1936 | NBC | Himself (host) | — | — |
| Apr. 30, 1937 | RKO | Peter P. Peters | Ginger Rogers | Mark Sandrich |
| Nov. 20, 1937 | RKO | Jerry Halliday | George Burns & Gracie Allen Joan Fontaine | George Stevens |
| Aug. 30, 1938 | RKO | Tony Flagg | Ginger Rogers | Mark Sandrich |
| Jan. 15 1939 | NBC | — | — | — |
| Mar. 31, 1939 | RKO | Vernon Castle | Ginger Rogers | H.C. Potter |
| Feb. 14, 1940 | MGM | Johnny Brett | Eleanor Powell George Murphy | Norman Taurog |
| Dec. 3, 1940 | Paramount | Danny O'Neill | Paulette Goddard | H.C. Potter |
Question:
What was the theatre where Peter P. Peters is the role?
Answer:
RKO